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   "source": [
    "# Introduction to Bayesian Optimization with GPyOpt \n",
    "\n",
    "\n",
    "### Written by Javier Gonzalez, Amazon Research Cambridge\n",
    "\n",
    "*Last updated Monday, 22 May 2017.*\n",
    "\n",
    "=====================================================================================================\n",
    "1. **How to use GPyOpt?**\n",
    "\n",
    "2. **The Basics of Bayesian Optimization**\n",
    "    1. Gaussian Processes\n",
    "    2. Acquisition functions\n",
    "    3. Applications of Bayesian Optimization \n",
    "\n",
    "3. **1D optimization example**\n",
    "\n",
    "4. **2D optimization example**\n",
    "\n",
    "====================================================================================================="
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. How to use GPyOpt?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by loading GPyOpt and GPy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n",
      "warning in stationary: failed to import cython module: falling back to numpy\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gojav/anaconda/lib/python3.5/site-packages/matplotlib/__init__.py:1350: UserWarning:  This call to matplotlib.use() has no effect\n",
      "because the backend has already been chosen;\n",
      "matplotlib.use() must be called *before* pylab, matplotlib.pyplot,\n",
      "or matplotlib.backends is imported for the first time.\n",
      "\n",
      "  warnings.warn(_use_error_msg)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "warning in stationary: failed to import cython module: falling back to numpy\n"
     ]
    }
   ],
   "source": [
    "%pylab inline  \n",
    "import GPy\n",
    "import GPyOpt\n",
    "from numpy.random import seed\n",
    "import matplotlib"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "GPyOpt is easy to use as a black-box functions optimizer. To start you only need: \n",
    "\n",
    "* Your favorite function $f$ to minimize. We use $f(x)=2x^2$ in this toy example, whose global minimum is at x=0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def myf(x):\n",
    "    return (2*x)**2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* A set of box constraints, the interval [-1,1] in our case. You can define a list of dictionaries where each element defines the name, type and domain of the variables. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "bounds = [{'name': 'var_1', 'type': 'continuous', 'domain': (-1,1)}]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* A budget, or number of allowed evaluations of $f$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "max_iter = 15"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "With this three pieces of information GPyOpt has enough to find the minimum of $f$ in the selected region. GPyOpt solves the problem in two steps. First, you need to create a GPyOpt object that stores the problem (f and and box-constraints). You can do it as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "myProblem = GPyOpt.methods.BayesianOptimization(myf,bounds)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next you need to run the optimization for the given budget of iterations. This bit it is a bit slow because many default options are used. In the next notebooks of this manual you can learn how to change other parameters to optimize the optimization performance."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "myProblem.run_optimization(max_iter)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now you can check the best found location $x^*$ by"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-0.01037063])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "myProblem.x_opt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and the predicted value value of $f$ at $x^*$ optimum by"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.0004302])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "myProblem.fx_opt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And that's it! Keep reading to learn how GPyOpt uses Bayesian Optimization to solve this an other optimization problem. You will also learn all the features and options that you can use to solve your problems efficiently. \n",
    "\n",
    "=====================================================================================================\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. The Basics of Bayesian Optimization\n",
    "\n",
    "Bayesian optimization (BO) is an strategy for global optimization of black-box functions [(Snoek et al., 2012)](http://papers.nips.cc/paper/4522-practical-bayesian-optimization-of-machine-learning-algorithms.pdf). Let $f: {\\mathcal X} \\to R$ be a L-Lipschitz  continuous function defined on a compact subset ${\\mathcal X} \\subseteq R^d$. We are interested in solving the global optimization problem of finding\n",
    "$$ x_{M} = \\arg \\min_{x \\in {\\mathcal X}} f(x). $$\n",
    "\n",
    "We assume that $f$ is a *black-box* from which only perturbed evaluations of the type $y_i = f(x_i) + \\epsilon_i$, with $\\epsilon_i \\sim\\mathcal{N}(0,\\psi^2)$, are  available. The goal is to make a series of $x_1,\\dots,x_N$ evaluations of $f$ such that the *cumulative regret* \n",
    "$$r_N= Nf(x_{M})- \\sum_{n=1}^N f(x_n),$$ \n",
    "is minimized. Essentially, $r_N$ is minimized if we start evaluating $f$ at $x_{M}$ as soon as possible. \n",
    "\n",
    "There are two crucial bits in any Bayesian Optimization (BO) procedure approach.\n",
    "\n",
    "1. Define a **prior probability measure** on $f$: this function will capture the our prior beliefs on $f$. The prior will be updated to a 'posterior' using the available data.\n",
    "\n",
    "2. Define an **acquisition function** $acqu(x)$: this is a criteria to decide where to sample next in order to gain the maximum information about the location of the global maximum of $f$.\n",
    "\n",
    "Every time a new data point is collected. The model is re-estimated and the acquisition function optimized again until convergence. Given a prior over the function $f$ and an acquisition function, a BO procedure will converge to the optimum of $f$ under some conditions [(Bull, 2011)](http://arxiv.org/pdf/1101.3501.pdf)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.1 Prior probability meassure on $f$: Gaussian processes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "A Gaussian process (GP) is a probability distribution across classes functions, typically smooth, such that each linear finite-dimensional restriction is multivariate Gaussian [(Rasmussen and Williams, 2006)](http://www.gaussianprocess.org/gpml). GPs are fully parametrized by a mean $\\mu(x)$ and a covariance function $k(x,x')$.  Without loss of generality $\\mu(x)$ is assumed to be zero. The covariance function $k(x,x')$ characterizes the smoothness and other properties of $f$. It is known as the\n",
    "kernel of the process and has to be continuous, symmetric and positive definite. A widely used kernel is the square exponential, given by\n",
    "\n",
    "$$ k(x,x') = l \\cdot \\exp{ \\left(-\\frac{\\|x-x'\\|^2}{2\\sigma^2}\\right)} $$\n",
    "where $\\sigma^2$ and and $l$ are positive parameters. \n",
    "\n",
    "To denote that $f$ is a sample from a GP with mean $\\mu$ and covariance $k$ we write \n",
    "\n",
    "$$f(x) \\sim \\mathcal{GP}(\\mu(x),k(x,x')).$$ \n",
    "\n",
    "For regression tasks, the most important feature of GPs is that process priors are conjugate to the likelihood from finitely many observations $y= (y_1,\\dots,y_n)^T$ and $X =\\{x_1,...,x_n\\}$, $x_i\\in \\mathcal{X}$ of the form $y_i = f(x_i) + \\epsilon_i $\n",
    "where $\\epsilon_i \\sim \\mathcal{N} (0,\\sigma^2)$. We obtain the Gaussian posterior posterior $f(x^*)|X, y, \\theta \\sim \\mathcal{N}(\\mu(x^*),\\sigma^2(x^*))$, where $\\mu(x^*)$ and $\\sigma^2(x^*)$ have close form. See [(Rasmussen and Williams, 2006)](http://www.gaussianprocess.org/gpml) for details."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.2 Acquisition Function\n",
    "\n",
    "Acquisition functions are designed represents our beliefs over the maximum of $f(x)$. Denote by $\\theta$ the parameters of the GP model and by $\\{x_i,y_i\\}$ the available sample. Three of the most common acquisition functions, all available in GPyOpt are:\n",
    "\n",
    "* **Maximum probability of improvement (MPI)**:\n",
    "\n",
    "$$acqu_{MPI}(x;\\{x_n,y_n\\},\\theta) = \\Phi(\\gamma(x)), \\mbox{where}\\   \\gamma(x)=\\frac{\\mu(x;\\{x_n,y_n\\},\\theta)-f(x_{best})-\\psi}{\\sigma(x;\\{x_n,y_n\\},\\theta)}.$$\n",
    "\n",
    "\n",
    "* **Expected improvement (EI)**:\n",
    "\n",
    "$$acqu_{EI}(x;\\{x_n,y_n\\},\\theta) = \\sigma(x;\\{x_n,y_n\\},\\theta) (\\gamma(x) \\Phi(\\gamma(x))) + N(\\gamma(x);0,1).$$\n",
    "\n",
    "* **Upper confidence bound (UCB)**:\n",
    "\n",
    "$$acqu_{UCB}(x;\\{x_n,y_n\\},\\theta) = -\\mu(x;\\{x_n,y_n\\},\\theta)+\\psi\\sigma(x;\\{x_n,y_n\\},\\theta).$$\n",
    "\n",
    "$\\psi$ is a tunable parameters that help to make the acquisition functions more flexible. Also, in the case of the UBC, the parameter $\\eta$ is useful to define the balance between the importance we give to the mean and the variance of the model. This is know as the **exploration/exploitation trade off**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3 Applications of Bayesian Optimization\n",
    "\n",
    "Bayesian Optimization has been applied to solve a wide range of problems. Among many other, some nice applications of Bayesian Optimization include: \n",
    "\n",
    "\n",
    "* Sensor networks (http://www.robots.ox.ac.uk/~parg/pubs/ipsn673-garnett.pdf),\n",
    "\n",
    "* Automatic algorithm configuration (http://www.cs.ubc.ca/labs/beta/Projects/SMAC/papers/11-LION5-SMAC.pdf), \n",
    "\n",
    "* Deep learning (http://www.mlss2014.com/files/defreitas_slides1.pdf), \n",
    "\n",
    "* Gene design (http://bayesopt.github.io/papers/paper5.pdf),\n",
    "\n",
    "* and a long etc!\n",
    "\n",
    "In this Youtube video you can see Bayesian Optimization working in a real time in a robotics example. [(Calandra1 et al. 2008)](http://www.ias.tu-darmstadt.de/uploads/Site/EditPublication/Calandra_LION8.pdf) "
   ]
  },
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nUqK2AalgHquufMJypVUyCLMAodrAPbUDzuk7/R46eqxNVRyyDJ2ptkGdcA6J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\ng/JxYZ8tIwj4fBlGz3ygw4VAk1qHIZm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      "text/html": [
       "\n",
       "        <iframe\n",
       "            width=\"400\"\n",
       "            height=\"300\"\n",
       "            src=\"https://www.youtube.com/embed/ualnbKfkc3Q\"\n",
       "            frameborder=\"0\"\n",
       "            allowfullscreen\n",
       "        ></iframe>\n",
       "        "
      ],
      "text/plain": [
       "<IPython.lib.display.YouTubeVideo at 0x108b5cac8>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from IPython.display import YouTubeVideo\n",
    "YouTubeVideo('ualnbKfkc3Q')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. One dimensional example\n",
    "\n",
    "In this example we show how GPyOpt works in a one-dimensional example a bit more difficult that the one we analyzed in Section 3. Let's consider here the Forrester function \n",
    "\n",
    "$$f(x) =(6x-2)^2 \\sin(12x-4)$$ defined on the interval $[0, 1]$. \n",
    "\n",
    "The minimum of this function is located at $x_{min}=0.78$. The Forrester function is part of the benchmark of functions of GPyOpt. To create the true function, the perturbed version and boundaries of the problem you need to run the following cell. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    }
   ],
   "source": [
    "%pylab inline  \n",
    "import GPy\n",
    "import GPyOpt\n",
    "\n",
    "# Create the true and perturbed Forrester function and the boundaries of the problem\n",
    "f_true= GPyOpt.objective_examples.experiments1d.forrester()          # noisy version\n",
    "bounds = [{'name': 'var_1', 'type': 'continuous', 'domain': (0,1)}]  # problem constraints "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the true Forrester function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Qu+x+BPwuItqo3Eq8MvC7IotammHD8iCro46C446r9F+PH5+3sWPzm9022xRb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\nuvo5m8W4ceOKLqHpeM1rz2t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      "text/plain": [
       "<matplotlib.figure.Figure at 0x108b1b128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f_true.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we did in Section 3, we need to create the GPyOpt object that will run the optimization. We specify the function, the boundaries and we add the type of acquisition function to use. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Creates GPyOpt object with the model and anquisition fucntion\n",
    "seed(123)\n",
    "myBopt = GPyOpt.methods.BayesianOptimization(f=f_true.f,            # function to optimize       \n",
    "                                             domain=bounds,        # box-constraints of the problem\n",
    "                                             acquisition_type='EI',\n",
    "                                             exact_feval = True) # Selects the Expected improvement"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we want to run the optimization. Apart from the number of iterations you can select \n",
    "how do you want to optimize the acquisition function. You can run a number of local optimizers (acqu_optimize_restart) at random or in grid (acqu_optimize_method).     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Run the optimization\n",
    "max_iter = 15     # evaluation budget\n",
    "max_time = 60     # time budget \n",
    "eps      = 10e-6  # Minimum allows distance between the las two observations\n",
    "\n",
    "myBopt.run_optimization(max_iter, max_time, eps)                     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When the optimization is done you should receive a message describing if the method converged or if the maximum number of iterations was reached. In one dimensional examples, you can see the result of the optimization as follows."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9JuDS3NJ8wk7TgQQnIYQQQvSz+vp68vx+fH4/aSe7tmlvXR1bN29ixuyz8Fkm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x108bb8208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myBopt.plot_acquisition()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zhJkzZxbPlBKmrTxMW3n4rA381uezNqMnhM7Oo1m4cBoXXXRVSXtceOGVgQNz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\npEgqqERERERERIr0/wGxBKoqJ2+R5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1094d97f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myBopt.plot_convergence()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In problems of any dimension two evaluations plots are available.\n",
    "\n",
    "* The distance between the last two observations.\n",
    "\n",
    "* The value of $f$ at the best location previous to each iteration.\n",
    "\n",
    "To see these plots just run the following cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zhJkzZxbPlBKmrTxMW3n4rA381uezNqMnhM7Oo1m4cBoXXXRVSXtceOGVgQNz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\npEgqqERERERERIr0/wGxBKoqJ2+R5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b07bb38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myBopt.plot_convergence()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now let's make a video to track what the algorithm is doing in each iteration. Let's use the LCB in this case with parameter equal to 2."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Two dimensional example\n",
    "\n",
    "Next, we try a 2-dimensional example. In this case we minimize the use the Six-hump camel function \n",
    "\n",
    "$$f(x_1,x_2) = \\left(4-2.1x_1^2 = \\frac{x_1^4}{3} \\right)x_1^2 + x_1x_2 + (-4 +4x_2^2)x_2^2,$$\n",
    "\n",
    "in $[-3,3]\\times [-2,2]$. This functions has two global minimum, at $(0.0898,-0.7126)$ and $(-0.0898,0.7126)$. As in the previous case we create the function, which is already in GPyOpt. In this case we generate observations of the function perturbed with white noise of $sd=0.1$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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AnjvFLAeMu1RWy427bELjLIkpBkJj833u7rOZZWxlR9BdJhNwo3D48L7mpXOr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qAAAd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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1094dfb70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# create the object function\n",
    "f_true = GPyOpt.objective_examples.experiments2d.sixhumpcamel()\n",
    "f_sim = GPyOpt.objective_examples.experiments2d.sixhumpcamel(sd = 0.1)\n",
    "bounds =[{'name': 'var_1', 'type': 'continuous', 'domain': f_true.bounds[0]},\n",
    "         {'name': 'var_2', 'type': 'continuous', 'domain': f_true.bounds[1]}]\n",
    "f_true.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We create the GPyOpt object. In this case we use the Lower Confidence bound acquisition function to solve the problem."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Creates three identical objects that we will later use to compare the optimization strategies \n",
    "myBopt2D = GPyOpt.methods.BayesianOptimization(f_sim.f,\n",
    "                                              domain=bounds,\n",
    "                                              model_type = 'GP',\n",
    "                                              acquisition_type='EI',  \n",
    "                                              normalize_Y = True,\n",
    "                                              acquisition_weight = 2)    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " We run the optimization for 40 iterations and show the evaluation plot and the acquisition function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# runs the optimization for the three methods\n",
    "max_iter = 40  # maximum time 40 iterations\n",
    "max_time = 60  # maximum time 60 seconds\n",
    "\n",
    "myBopt2D.run_optimization(max_iter,max_time,verbosity=False)            "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finally, we plot the acquisition function and the convergence plot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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1TX5K7To3ZVdhlwHQ9T9i26wDrrIYme+5RlEUZbFxVvZwuRV7ByLCnVi/gVB8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\nNCm8xQgdz2XHeSHMjXNsOkeh7pgqqGXu5QZJCld0xa8mc7rt5wiPcpA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WtX32g40q5/5U\n95vbNhRyOgHcAgu+qqdQ5H2DkaILBiM61a546pJbAbVsmcSQ0xBuyKmNPb1HS4S3y48tN84IgiBs\nBbTWd2itn6u1bmmtj2qt/9ya93qt9Tc77c9prTta6/830udntdY7tdb/rep2bSnxTSl1BXAD8BEz\nTWutgQ8DR0PLAQr4hFLqS0qpP1ZK3ZS77pTw05A7KLR8XcYmnkxKSIutp4KYNBliN1cV3W5l19qp\n/49uRtsB7cHlfmheiNi+Xge34mkKUQEOxifCpSzbFHMUx0SdV/lToh2DAcV9vc9qMzRYaa1fFVjm\nDVabH9VaP28w+F2ntT6mtf5UA7/K2JjmWDNOXAEux/3WpkeXZdr0m3vY4xXjbJdbAznMYiKbPS8W\nrhrsx7d9E3Q9e/Gtu0FhLnbqX3L+BgjlRYPMiqc5lUyrECq0EDjnr9CtHHLqim7DLsAZyAcnNM52\nHWcEQRCEMFtKfAOupnBZnHamn6awD/p4lKKq3muA7wL+EviYUuql49pIw3bL9VZLlEtZNjV/W+wm\nKZazZ0TkynW/lQlvE6Lst6zwf0oRcqe5P8fcb5AgwMFkRLgtHHYqDDHVsaZKvrfc3G4xRh8s+R8+\nuRVQ7fNId25ghVoYFIsy9RIWSv4OYQtZlhjXCrQvE9BysPu3j+tkY9Je0oW4XHGs7niVypPWy6LP\npvvNF3oKm064wd/1krBTe7rbZoUuvZ0tevNzRZin71zr5mhzxbLUBygx15szPSXk1P0udsjpzIlq\npuBC3ZeY91LZUvc0giAIQn22fbVTrfVngc9ak+5RSj2fwur9utiyv3v7CfbsG7aLvPi2I7zsthds\nfC4qd0nSXCCj2mgmdiXU1PmVtiVWBXVMwpt9keqGnMaKLaQIcA3cgOYIbuYGfZLhrDZGgPNWQrUp\nq1RaYf5dH4a7PjLc7GzZdgjbijpjzc/evkR336bAvIsLfMdtV/Cdt/ntinXyte06GxcNXLqsRPNv\ntemXVzxNpcXAWWXEKHM+Dpxj54k/tEkJLQ1WMs0ldfxIqbRtD2qxfscZcupWYn0yvh5ThTwRU/HU\nrnJamVBVal+7VHzHSIWQUyhEthzXmz3d/m0+cdcDfOquz7KDC+zkEru4wPmzbml4YTtTZ5yB/0KR\nLMnmxcBLGtxCQRC2Np8EPu1MW2uue6mqveXEtyeAi8ABZ/oB4LGMfv4MeEVZo9f8wo08+2tHc57G\n5IgWffqBPcIW6ux29vRxiHntbp/e8hbeS+tQJtyN3NiYm6SSm76R9lMg5eTVATp6tNCGh6rOtkk5\n4nrzO2ivXipt17gIF2pjLX/bXyteNvd9Fm54Y8k2CLPKRMean/qFBV70tZtCW51Kp7m0V9fpzc/R\nvtint7NFh+WNsMDU8ahFz+viaXV6hePJPAyZH/ztUhxTHefzCInVOnPzvYUw22M/vLHHEK9Qt59N\noSomlFHSxu4ntkzug6AqwlxoOywBztbLzL9+heI3Wh78XaVwPA6m91fadPeHn4rZQlyfdlK13Sip\nopzdvmx6wEVnh5yGxGqf6y0nx9tLb3shL73thbTo0aZPl2Ueve8xfvSGe5L7EGaKiY4z8G3AdRnd\nCoJw+fESRgX5LwF3TGFbtidbKuxUa/00cC9ws5mmlFKDz3dndPVSCut2lN3Uf6JYR5iYmINoEhVP\nIT1MtCop1S+zQ4bK2kwQn8MjI2ql3e1HK+FC+f6asz9X3fdjed/Kwk9t9HxmOKqEnAoDJj3WlOFW\nOnXJDTltMkTVkFzx1M3zZn9ewDpH26KR9T4Ucuqux23jhsbZhPpLDj31FUKIkdLGPbm7Y1Ls5N/k\n2HSOYbHQI8zZWnFC3jcj6G7+9Q/MSRVPfXnZQrnaYviKKkQKLZS5R/sbQlxaDrs+7aHXZvuwY07Y\n2szaOCMIgiCMn63mfAN4N3CnUupeiqc9twNt4E4ApdQ7geu01q8bfP6HwEPAZyj81m8EXgV8S9UN\ncN0A7ueY+60qrUF4hm993m1s9+j1/G12zPe4tFpyERcK2ywL56wbemq7DHZDJf0zextS3Aq+ZWri\nCzl1SREnM4tTlCVLd4sphIorTCsHXKoDzmALcBMLSW2aPQ307UabCGVMfayZJr5xxj7m+54xqFhm\n09G9TIe5To/1pZLzpXFLjRBxbeWE4oeqFo8tNLyOAy6XpkNObXHtnOd94H+5hP9/8NRg+tKupPGs\nR2tIyO3RDo81Tf0PY9VMI/ngTMhprIAEFN8p5nrzHUvCZcNlPc4IgiBcbmwp5xuA1voDwFuAdwAf\nB74GeLXW+suDJtcAz7YWmQPeBXwK+BhFgoObtdYfS1nfuKo6NoXtjmusAt0sk1J0gYR5I+SIaQ0L\nbza+fG82oemZeZvbg+fyW5Xe/I4sF5zBuOEaq5Aaa3OZRnpvFyY91swCMYedO760BkF2SZQVXYDi\nHDbifhvZiGG6+CuWhhxrLvY8s4xvbOl62o3gimBVxgm3j9CJ3Td9zFVONzjHhkBnCi8YzEMvt+iC\nxfJ6ZzCr+A7Lzl8f3oeNZYURXPdbSkhpjel2yGlITOsFHG0+3D4mUpyhQ/G71X0lXHsppd6slHpI\nKdVXSt2jlHp5yiYqpV6hlHpaKXVfpM33KKUuKaV+z5m+Qyn1M0qpU0qpnlLqpFLqn6Ssd1xcjuOM\nIAiXMXMUppG6L39K5C3BVnS+obW+g0Dwsdb69c7nnwd+vs76fE62MvdbqG1K3rdtjc+VluJUq1J0\nwZ1nnpJvJPV2SXUrNEyKEJRChRDekGDr3lTbnychSPd3t2mdL7+xNwJcjhPOkJQbrizvm91GCixs\nOyY91kwSu/CCyftmsPO+QbzoQpflISGhTX9j2e7cStjV4+Z9c3HP02YVC6S73ppwotp53mynVXAc\nsSkbU5pyv7l9NkGG622V+AOgzGIMy3RHxqAVukVdyHlosx4OnY654cr2h1AoqSfk1D5efJiQU1dk\nc0W0y9H1ppR6LYWA9ANsur0+pJR6gdb6ichy+4DfBD7MaJ400+a5FOfh/+GZ/RMUlUL/LnA/8HUU\nrrMlrfUvV/0+ddnO44wgCIIwzJZzvk2LXMGhjkAx846klEqb06L2zdaYqpra1HVElbn9Mn//aVUn\nbRLjhJt5N5wgVKCsmuI4SRmP3HOIXTCi1emZiQW+ML4Ohchlu9+gOFeaF4w65XzkFl+Iud9CJLvf\nIH/ciLnfus7nmLOtKdebT4Sz3G8G8y9fcT5brK/EhaZhZ1iGKJUomiX3Me/8dd8PSAk5hc38bxvL\necJNl+luvOzltim3A+/VWr9Pa/0A8CaKWmZvKFnuV4D/AHgrTCildgC/BbyVIjTT5SjwB1rrP9Ja\nP6y1/j3gj4Gvr/Y1BEEQBCEPEd9qEHMHNbeOZoSRdncLCSz2tWxmPrMNagmA7s1SSvGFBnCv4UNh\nT1Au8GSKcL59N2d/Ng463/5aNRw6Vnghhi3E5YpxSUJcaoGGJnOstdn8n1Z9bdv7uO1Hyg39rOEe\n50lFFyCt2IH92SeWuX267cpIybnp+5c0oommFl9IKbAwznHKiG2OU6/s0sLjQnMLLcy0yJRQvMEN\nOQ0JhyFhzXXDjRZp2D45DJRSVwA3AB8x07TWmsLNdjSy3OuB5wFvj3T/NuC01vo3AvPvBm5WSh0e\n9PkSiiqh/yXnOwiCIAhCVbZk2Om0qFNIIRR6mrf+3vguUjsaVpQzjerFE2LL1i3KYMJKTD8p60oO\nPTWM6SbG3X18F/OpolnK/XlHs2O+lyS+Vql0OvMuTUYrpKaGqCYVapCQU2ELY4ee+sgdq4oQ1NH2\n3qILdpEF3zlvFX/F0mJFm6QIeaFzZSyVgU0o9NTLfkYrguaGl/r68LUZN2abn7T+eta7RPG7mKIL\n5rPNCtmuxD5tumUXC/b/w7y3p+0Dyqr7lrneLFJCToGNkFP3mq0sDNWe3k3eQbcUV1MEEJ92pp8G\nvsq3wEAs+zngG7XWl4qCoCNtvhF4PfCSyLr/OcXB+IBS6iKFAeGntNa/k/slBEEQhAo0UUDO9LNF\nEfGtJrGbkxSxrqqgN5GKpzHqCmhV+quT920WGEe4aYYzsN3OF8qqVjptSpRLzf2WQxUxrjQ/XEpu\nOEGYNPa+WHKxY/K+tS/2g2GuPherryKqW/EUKIourOwqii6Y7eoSz8/l236jVaS63mIPKewxw6zP\nCG1lY5ItyI3QhAAXwxbAmiy0EHC3eds46/LlffNUQO2vtOnuD/+wfdpDDuplOvWrnYYEuFhl05Lp\nqSGnsJn/zWAEOXua/XDWpk97csW0WmTfFN313+Gu/zk87WyDY+AglPQ/AG/TWn/OTHbadID3AW/U\nWj8V6e61wPcC30OR8+2lwC8qpb6ktf73zW21IAiCIPgR8S3CHtZGppWJZXUKJ1Rdtk1/42ZnrO64\nXJoW6FJJvSBPSpjdEL5dJuUGMeVCOCNCrahQGKtoON4fpEoY9TgEOJscMS7LDScIs4RxBCWSWnTB\niAVJRRfMmDDP5tgQ2qZlzzxXePO53lKFt1Tsccz3gKeRccQnzKW439w+xoHZBvPFS35U40a3xbin\nGBHherTpDJySpmhHyOnVoz0iSl3Yx3DRBVdgc68DcvK/mX3IccT5XKK+kFNfoYWibWtEeHOv+Xzf\ndZa57ZuKl819n4Mbbg8u8gRwkdGCCQeAxzztuxSFEV6qlHrPYNoOQCml1oFvpdjDngMcV5u2uB0U\njdaBr9JaPwT8S+CdWuv/OGjzmUGBhp8ERHwTBEEQxo7kfCvBdxHkChTjyfW2dS6+KlEWWtlk3jfz\n1/Q5y+KILyeSb37q9ABtejNb6dRH1fxvVUjNF1eaG277pOkRpsBY8r55BONg1UiLxooyyI5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XVxBTiDORbKQk9HKDsXleSEKyvs0B6El5pQU/tzFrajzRbgQi+bkNst5JazlzPkPKCZVGoFINv1\nFjr9LFivSut2Rba9w/Pdfms63lyW6Yy4x0aoO+5WCDn1ne9Drjc7pNQW3OxpG32s+79v5Sr2giAI\ngiBMHRHfEnEFuFkQxuo4jNrd4Rsjb5hi3dDTshuUlNBTG59AVkU0m7b7zVDl96nSZkBZpdM6xRam\nTYrglSO4pfQT66tHi7VGMopODqXUK5VSf6iUekQpdUkpdWvCMn9bKfUJpdSqUupLSqlfV0rtd9r8\nLaXUolKqr5T6pFLqb4zvW2wPbAEuN9ysbt63XYEE9b68b2VjUGtDiNsMPQ263zZXVJAaPhoT3VKm\nh9Zhi0eNjAW+fG/nAtMbprYwZkS2/ZQ63RoW3SqT+j8LtKsTchqj74puS7uKl9PGpsx51xjiSBAE\nQRCEsSLiW0OEwvSqVIic+aILMLkn/02up8w95ru+rXLTNa2Q1USyHSk1qJPvLVV0KBPemhLdJt33\nEE3cFJXfEM0DnwB+GChV3pVSrwB+E/hV4HrgbwJfD/w7q81NwG8P2rwU+APg95VS15duzWXEefaM\n7EchBxxs3oyPO/Q0xFjGIzv81A1DtUW2UOGEmMPNpc644i5bWRepKro1FObpimTR0FMYdsE5rrcp\nii1VRLIN5kffuyGnSdsQCDl1XW/9mOg2eO+64TbX0Rp5Ly44QRAEQfCjlHqzUuqhwcP/e5RSLy9p\nP6eU+lml1OeVUmtKqVNKqe9z2uxTSr1nYDhYU0o9oJT66znbJeJbBnXdb+MU0MZSdKEJmnB3+Ugx\nFaWEnqaQI6bF2qbme4sVWwhRodJpivA77Xxvdalyc1IlsfXERLgxorX+I631W7XWfwCohEW+AXhI\na/0erfUXtNZ3A++lEOAM/wD4r1rrd2ut/0Jr/VbgPuDvN/4FtgGhfcjsk9st6fqQ+81gC3ApLrXM\nc9/Ieux+faGnYzEducJbSIhroNBCbSdaRHRzBbpZKMLpEdRK20UwApoPn9PNDjn1sb7SHhbdVgYv\nGBLg+ivtkcIL2+34FwRBEC4z5oA9DbxKnrsppV4LvAt4G/Ay4JPAh5RSV0cW+4/Aq4DXAy8AbgP+\nwurzCuDDwFcC3zVo80bgkaTvPkDEtwh7OD8yLTVszydaDPdTPe/bRIsuxEJPc4ShrHVmtjc0kbMn\ndPPQtJttXKJjRqVTyHNZNpnvrSkhOuZ6SxHDehsy5OYrND3lxmc7iHAZ/CnwbBNGqpQ6APwt4D9b\nbY5SDFQ2HxpMFzzY+0/M/eYyjrxvpuiCnfctNE6F8r7FQk9thsJP7a/tE9fKXG5lFVKrMua8ZuWU\nuN5yHWil22/W54qAJaJgzd862fVsOdOC4da+fd+d5rjefMeSL9+bi+/cb7vehlxttugGIwKc24cg\nCIIgCMncDrxXa/0+rfUDwJuAHvAGX+OBe+2VwLdprT+qtX5Ya31Ca/2nVrPvp7hy+g6t9T2DNv9T\na/3pnA0T8a2EJhLVz1zIaIAc0WailLkQcp621yhc4E30Xdb3OGiw0imMb/+sE96acrNRR3hLFdNC\ny5Ut26fNefZk97+VGDjd/g7wfqXUOvAo8BTDrrZrgNPOoqcH04UBa86+4hPgXPdbLPR0XHnffNR9\nwGPcbxvYApxPhEsR3EL4RLwYjed9g7DLbQK538qIind7nb+OEOj7fbrOvIkWqrCIFesIkBPS7Su8\nEHTMLe3aFNpWGBbhVkab2/2Zddl/BUEQBEHYZOBQuwH4iJmmtdYUZoDQw/9jwJ8D/49S6otKqb9Q\nSv28UmqP0+ZPgTuUUo8ppT6tlPpJpVSWnjb6iE0opUWvsrulTW/kgsw3rUWffsJj7Frb0u3TW66Z\nrKVD9IIxqV1qH3XogpMvvHrbeYadIikX87nXyfZNypgrnfqoUmwh9SZ83GJ0vBBCcw4Cu69xfyfd\nAp1x83/X78Lv/N7wtKUMQSWFQd62XwR+Gvhj4FrgX1GEnv69Zte2/TH7k9mX+rRnLoy7w/JQ8vcu\nK1nuPLsfg/neRoBbX2kXApxxAJnufWNE1XDTFc/nKymkY/f8ntoPFGLdkq/xlIS1FGdecJsN+4En\nB+89jrdW4nrsRTpj3q9T/4embYCyQgd9z4MYX8jphuvNDTcdXpm1T+1ifdBvd3/84sgV7utwoVNf\nuDf9CIIgCMKUuBrYif/h/1cFljlI4XxbA75j0Me/pbgI+n6rzTcDvwX8DeDQoM0u4GdSN07EtwTa\n9KMuG1s8s9+nCmjp2zEq0k2EjoaVlBRQTa6TckFuN3gig4eXTxX9cgXAplwQTSb+jpBb6TRELN/b\nJAkdj5MS3kJ9z4rL9bbXFC+b+z4JX/fNja7mJ4D/pbV+9+Dz/1FK/TDwP5VSP6W1Pg08Bhxwljsw\nmC546NEe2Y+W6dBlZWOerw0U4XImVHTchMajlHODe/x251ZYXi9OaHOd3qYAB6MiXBOknO/tNjkP\nb6LMgLutjBaM/gttAc58DjAh4WWF7kgF3jqEQk59+7jP6Wam28uZkNMhbKfbU9b0K9m8ZrH7XO/Q\nnusN+mzRHjxwnfYYLAiCIAi5XGjBhcx76N/5T/D+/zQ87WzDhgKKaNBLwPdqrVcAlFI/CvxHpdQP\na63PD9qcBn5g4KT7uFLqWcBbEPGteVwBLtdxlupuqyOwpSzbbvfo9RoWIZpwvzVFyhPvlDaN3Wwl\n4iu2YNNgpdOQQJRSbGG0v1AeOP+y0xKnmqicmiYqzJYIN2bagKv0XKKolGrU+j8FbgZ+yWrzLYPp\nQgAjrpW534wA0dvZGsrLBoWYMBQ+muMGsmivro8IEiEHN6SHw4Xcb/2V9qYAB6MiXAjTLobdh288\nMu63MiYxlo3QUJVTH6Xut8D67dNllzGF6ZZjROeRfb6M1BBUJ9/b6PzhwguuY27D9WbvM+5+9hSb\nhT8G7jczvgfFdskFJwiCIGxzvudvFi+b+z4BN35TcJEngIvkPfx/FHjECG8DFinuZ54FfG7QZn0g\nvNltrlFK7dJaJ1yISs63LUHdogs5TC3vW05V1Kp538rauNvQVEoVt5+mC1VUSCY+iaIK4yLX9VZ2\ng1J4AltR4S2nnVnnWoOu10mglJpXSr1EKfXSwaSDg8/PHsx/p1LqN61FjgOvUUq9SSn1PKXUKyjC\nUE9orc3g9ovAX1dK/ahS6quUUj9NkYfhlyfzrbYGq4EE7rC5X1cJ78zciCiuuGeTGh5rF14Y6pse\n3bnieseEJM65VVAXLsRfKYTauT+tLcrUKqrwZMV5FWjydJPT1wJxESuy2451XKkh/uXmexta1vrx\nTKGFIVbYFN5WrReD6dZlv12gYbtWPBYEQRCEJtFaPw3cS/HwHwCllBp8vjuw2P8CrlNK2YPsV1GY\nCr5otTnkLPdVwKOpwhuI+JaFe8Ng33CEcmTVqWraFNFww26iSBeregrjqXya0ras+mdZP1spN0lC\npdMcUpxt6X3NZuGR2I1KqpAWW7bq8jPK1wEfpxiwNEWJ7vuAtw/mXwM82zTWWv8m8KPAm4FPA++n\neAL0GqvNnwLfC/wA8AmK0tzfrrW+f8zfZUuyTHfjZj6075bdhEernmYQchC5oX7dgAXMV/XU15d9\nXnAFOGBYgGsCW4Crcv6vLMbZIadPOn99bSZM7veKnfp8fTU41jYiQFninC/kNDff27JTYGFkG93q\npq7YHRC/R8S7jf631dgjCIIgCE3ybuCNSqm/q5R6IfArFBE7d4LXUPDbwBngN5RSR5RSfwX4l8Cv\nD0JOYZADTin1S0qpw0qp/wv4STINBRJ2GmEPfWjwKWNuSGnTOeMuO2KhQakhWJMOPy2jxI23Y75X\nu9JpWbGFKq7LaRRZKBPemsL0Nc4cPGstRW++Xt7FtZam0NT8aK3/O5EHMlrr13umvQd4T2y9Wuvf\nBX43eUMvQ0JJ093wU5P7zSYWejpufGNad3DCLMuTarfZ/NzeyP9mQlBhVIBbdwSJmEDntgWGCzoY\nfOPFWMJLXcHtScYaUloVb+43hzKRrYZrsJG8ZqFxPiPc1D/dKajgKbpgGCm08JS1TW7hD3dbB7+f\nyfu2QnfM48wuevP1n8mvtS4BySYAQRAE4TLh6TnF+d3188g/PVd6T/MBpdTVwDsowk0/Abxaa/3l\nQRPXULCqlPoW4N8A/5tCiHs/8E+tNl9USr0a+AXgk8Ajg/f/MmfbxflWgisaVHG/xUh1xsXmzUxF\nvLpPtuuGnhpyw006gffjJrSuskqniaRWOq1azXQ6Trb6otm4HAPb0AknTJChcLUSlT31Ic5I5cIG\n83C5x79xuoXbF+63rvM0w3bSmeVtB5yvMqYJSR0JTfVQ2sY9D1/pbVUQ+/0mmONsbLhiWeh0Zk+f\nZzPfW8L4WdfJOFJd1AkR9e7z8573gfZuf26+t1iYKWw65kZCTu1wU/OZyGcYEu1cl53hfIPVTgVB\nEARhu6C1vkNr/VytdUtrfVRr/efWvNdrrb/Zaf9ZrfWrtdYdrfVztNb/t+V6M21OaK1v0lq3tdaH\ntdb/wskBV4qIbwmUCXBl5ApsdUjpt8wVFcz7lhnWGGRcAlfsfrWT0KZKv7nLxr576noq5HcrE2hj\nxRbK9qmyvnP39dyQohzXW4o41h+UpfC9UhARTqiKve+44ae57s5KBNzApoJqyFmXEno60qfzcMCc\nJ1wBDsIiXA4jok9qnjhD5XFgC1Q4tfEJcC3P+zJXm/17xQTNhigNty4RR6uEa4eEuKHj0i20sMrm\n5yXrxWD6KkO531znZo5ILwiCIAjCbCHi2wyR63jLCf9rJO9bCk273+rmfYstH7oYn3QeuDLHhO/6\nusI2xiqdNsU4Q2LqEhPEUgW2HCFuLSkhoSCMuldcAc7GV3jBuG2Ma2eSed985xST581HzP3mE+B8\nIlzsFSPouvKdT3OcbMkaSKjIQsPFF+riE9Zanvmh32hMLsCmi46MuOQGlOV7A48Dz5OLcSTk2RXe\nYDOtha/a7KBtKO+bIAiCIAhbC8n5loib26ZNf+MGqTXIyeO28+XD8U2L5XbbtnnfxpJLxyI1p5uh\nbHsmnfst5R6jQpVTSK9oGhN8U0W8Wcn1llshNXfd4w79XpvbQ3/3zpp9XKQ8iZMwLcz+5NuX3Nxv\n9rRZI5Tb1JcLzs791mF5SPSw+zF54FJwBThXuJjr9DZFETf3W2gcWMAvjiTjut/MYDLDzqXQd3aF\nOTvktOOZP1Q5dtNtOM5998K+sHCcSsxV6o4bPpE8GnK6xPD1xDLF72j/3sYtuLRrY5zv0d4QqhvJ\niScIgiAIE6SJ+5min617TyPON8FLrdDTcTrHyvK+pdzLpLTxfYfc+6Qm76uquvsChCqdhm6IZiGv\nYJ3KpD7qCG++vprsT7h8MftRqvutLPQ05O5pAl/eN5dQLrjukHvOH+buVkJ1nXApVApZzQmTrFFU\nYLaq+XhYYPP72e9hIjnu7HO37/ya4lBLWs/AKerL92ZTVDQNF1uw871ZE4ff2wLbKpsPCd1d4anh\nj3afjYebD1jbuYfezlbt19rO8jx0Sqk3K6UeUkr1lVL3KKVeHmn7CqXUnyilnlBK9ZRSi0qpf+Rp\n94+UUg8M2jyslHq3Usp79aSU+gml1CWl1LuzfiRBEARBqIGIbxF2szb0OZb7LVR4YXN+/cIK8f6n\nL45kk1JwINauifVthyTZAB0dFkwDNOE8GN7vh/fx6RRkSLspGZdQJiKcUIU19gztu64AV7yP71fJ\nQkTZOa+hvG+h0FNTeGHz8+Z7N/zUvHfPJbYQlyrI2QJcVtL/2PiTNTaZ0NIywW0Gc8SF3GyxXS6x\nAEMZheDV/Dk1VZS2iy24DB+fgXxvMFzhtOh0+LMtwNninCfvm3uchyolzzJKqdcC7wLeBryMomrc\nhwaV6XysUlSgeyXwQuBngH+mlPp7Vp/fC7xz0OcLgTcA3w38rGf9Lwd+YLBeQRAEQZgYIr5lkiso\n+EP3mhPdqlJWdKE2k86b1oQzLKVdnQftKVVVY5VOE9bd7vZpt8sLLGy0LxGKZ0/djgIAACAASURB\nVDGsLQef6y1FHOtt3PKPvlIQAU6oQmj/st1v9r7lFQRmIO9baNxzc7353G+2AJdTQTxXjNvAhEJO\neszawPwGNfO+VYm+mMdbAbR0Gdgcj+yQU5x5NpHft6lxxt7nY+JabF6qiG0fk77jcEMws3dFN9zU\nLrhgi3Er1mdr+XE53qbA7cB7tdbv01o/ALwJ6FEIZiNorT+htX6/1npRa/2w1vq3gQ9RiHGGo8Cf\nDNo9rLX+MPA7wNfbfSmlOsBvAX+PmsHkgiAIgpCLiG8lTMpRFgoDLMPvLMgPHcwqutBU1VOodsOT\nukzshqJq6GkqqSJdioPAJmObUgsspO57sXxv03C9uQJXyo1JmSiWIrClCnFuEn1BCNHzCGpl7rec\n0NNJEgo9tQm531wBzp5n3vuccD58IlyS+63JhzUjzFCYqTs+lglxKSLdQqCN81vlhg6X4YaLGlLc\nbaGQ0+gygeNt49j1CW9uxVOf7LNKcBfxFV3YilW1lVJXADcAHzHTtNYa+DCFgJbSx8sGbT9mTb4b\nuMGEryqlDgLfBvxnZ/H3AMe11v+t4lcQBEEQKvI0c5xnd+3X0zTzgHkaiPiWwOiNgz/Urkroadr6\nqycUrJOQNzeMcYQ64lVq6Glu3rey0NNxu9+aIPN3LXIulVXGLXeu+PqdZXJuTHJcbU0sl4sJS6zz\n2orhSZcTy3Q33DSuAGfmG0Iicsi101TeNxN6OjTNzsuWEHpqu93syqepApw9LUWIiwlwpYTEplp5\n3qAILZ1AeGlVX8+852Vju95mHHvfv7AvUZCLnNNDxRaijjk7rNQW3lasl/2/Mu9N3rel0dpovlyQ\nW4SrgZ3AaWf6aeCa2IJKqb9USq0Bfwa8R2v9G2ae1vouipDTP1FKrQMPAh/VWv8La/nvAV4K/GQT\nX0QQBEEQcpFqpxMgVP2tzryp09Gwoqa9FcPsBs4H5lWtrhpaLlb9tMlr4lBfFaucVnGkzbrIlkpI\nsGjiGLMrHAtCLmtW3PwyXbosY1cz7dHaEKXcKqe+qqe9nS3aF/v05ue8glkpq0RdTu2L/RGn0GhF\n8OHPdpXWYv5mxfAuy0NigplnV0BtO8u76zZ4K60GqqVuVD51q57GyK2kPcI55/3eOp1NHld4i1Xd\nnmekeEV28YsAOdV+q4jPKVWzfWPKxn5m53uDUSF0xfrrXmd0B5/nrfnWdhXng+bHmj5tVjLdBMfv\n6vHBu4a3ZfnspSY3y+YbKX6NbwD+hVLqpNb6/QBKqb8K/GOKENY/Aw4Bv6SUelRr/c+UUs8G/jXw\n17TWT49rAwVBEAQhhohvibToDV1o2TcW9k2E2y5EXWHNt3zqujf6aPfo9cYs7qWIXlWFsRRiN0ox\nAW2ajDXsKb/SaS7juCkoc7G5x0Kq661pcTvnhlAQbGyBzQhwUNwQG+HKnl587my4zbL2vUwBaddZ\nv4Bhi2M2o+Nlf+iYtMU2u61vXDUOuBQRLjbfFuBanZ43jG96LON/0mKLc08C++Pd9GGskYjuJtpj\nkAk57ZJVbKGOO99HjuDs5kV092W72ELMaeYWWxjJ9+bmfXOnOwIbyxS/4SpD4uXyeof23GyNL8du\na3PstuFj6TP3rfMdNzweWuQJ4CJwwJl+AHgsti6t9RfMKpRS1wA/Dbx/MO0dwL+33HCfGeR3ey/w\nz4CvBb4CuE8pZZ4c7wT+ilLq7wO7B+GvgiAIgjA2JOw0g1wHUNXQ00kVXRjp25P3rXboKYwnkXVZ\ncudxh57mrjel2EKIJopJOKTsR6nFQpq+eUoht6CBr/24XKWTCkUVth+uaDycC67cdTMtykJPQ23t\nc4cbfurO73j6ibl5K42V9vn0Ss/8LRvpV5Muw9+9YrhpVpXZCZKT721jmVSV0w05NZhQUzcE1eA4\n5dYDYvFWG2sGrrN7gZvNtIEYdjNF3rZUdjJ8ddQGLjhtLln9fwR4MUXY6UsGrz+nKL7wEhHeBEEQ\nxs95dtOnVft1PnpzPNuI8y3CHs4TUz5C7reqtOjTr9CHb90hZ12uOy7KuENPXUdcXYdc06GnMOye\nq3tjVlWk7OhKImmOOOwKbCEhehZdX1WEt5QbmrLv2mSOtTV206s50KzJs5aZZY09Gw4344Czw09h\n+JiLhZ6u0B0RqqBwroUql3oJhJ62V9cLd5En9HSkrSf01ByPPvebmRYaW10XnL0eGD1u3fWHwk8n\nj6ls6jrZEtxtZbjutyVGxbLU6qa+Mc0ONzV/U8S4BVcX2br4Kp1Giy3YhHK8LVjv7f/PU3h/4yKT\n69YS3izeDdyplLqXIkT0dgrx7E4ApdQ7geu01q8bfP5h4GHggcHy3wT8GEUYqeE4cLtS6pPACeAw\nhRvuDwfC2gpwv70RSqlV4IzWenEM31EQBEEQRpC7sRJSRYeyNnXdbNMqutAYZfc7Td0P5eoTzs3F\nkd793PrkH3Bk7X5/+1AfTTsiQgmuI7S7fdrtXpZDs2y/2or53nJDVN15qU4CcbgJTeNWOHVD3Xq0\nRqYtB06eVdw8MULCXagwgq/Cqa+dmW7alzng3HUOryN97DW5x5LdWA0WFzjCo9zKpzjCI/gLL0yg\nGEOM0JgW+w1igl5gfA/9H3MwQmzu/u6GnG5Mb/Kc7uZ7c/O+LVsvOxzVOOQCAl60uMMWQGv9AeAt\nFOLYx4GvAV6ttf7yoMk1wLOtRXYA7xy0/d/ADwE/rrV+m9XmZ4B3Df5+BvhV4L9S5IALbkrtLyMI\ngiAIGYjzbczULagw00UXYLqFF1KdbAn5ja5af4Ljn7mFg72HWLi4xNLOBU5d8TyOPfeDnNl19Xjy\n0pmbldTr6AyBsj3IVJPWNr/Sqb2epsnd55s6Pqr2I8UWhLr0mGdu4HRzHXDF/FH3GwzngzPtRoov\nVC26kIl93HZZGRIFQzne3EILsT5dh3fMBVfmgPNiF10YSx7SZa7iHMd5Gwc5zQJ9lpjnFF/BMd7O\nmaSBoAFnXIzYJtjCW8f5ay9v8r2ZYgtjMBqW5Tcc5z5v70cjQrhbbAH8gtoSm45512G6QvEbmrxv\nFv2VNr3948srWlTVru/YTnFZa63vAO4IzHu98/mXgV8u6e8ShfD2M6nbqbX+5tS2giAIgtAE4nxL\nIOZ+iz2dD1E371usTXZeurYjvIwr71sKvot0d1roQr5m3rfjn7iFo+dOcODC4+zW6xy48Dg39k9w\n/PO3RDpJpOrNRwMPt1sbwSnj/x/G1tE639t4TRI3LCd0A95kxVNBqIq5me9HbvDNtNEiI2PY/2pV\n9SwIjZEp7rfY8gafeyp2LurOVVDVGhKQjvM2jvI5DrDCbi5ygHPcyOc4zjuaWYHB/Zlcx1UuMeGt\noiNwmg8rbNebccyteEJJXUJhnl4nmr2bLXumwebxtcqm+w2G/1+rg+VSq/EKgiAIwoxSPORp1341\nmdpn0oj4lkiuwyc39HRzuWaEuZlkUql2MgsUHNH3c7D/0Mj0HcDB9Yc2Q1Ansf1jDM/NCX323fCa\nabkCryu41RXgYnluquRdbFK0kFBUoQrmYgTcfFKjRRZ8+7gbepoUlpaa98uDcRW1LxbnhpTQU1tQ\n803PEeB8Yai+ggyxz5PmCA9zkC+PTN8BHOQ0R/j85DbGJ6qGdhmf8OaSuS9N4n8RCitNxT2mUgue\nDBVGsH9nW1AzxReWGBVGI0UXfKxt4aTTgiAIgnC5IeJbRXLcb1VdbHUJ5rppel2dLZA2I3JzcHjl\nQRYu+K9y911a4tD6yea2owkBr0YfrYgLLjevYMjFMtRnQGibhAMuxfU2zoqnTXJ+kJC/zuv8Fn5K\ndLlgC3Cu+y3XjTMOygo2hKqeprjffIQEOLcfQ5kAN00O8yUWAtuzj1UO8UhgSTf/25PeViM0kREg\n5Grzud4SndqVnIcNkiPK9QcPU2Kh0UaUC57z3UsL36XGEpvuNygEuIjrtDcQ4WPbJQiCIAjC7CHi\nW4Q9rA19Hld+q1Ri4kjZttXd9sZCT6s4u2Khp/b7iqGnD3YOs7TLf5dxdscCJ+cORToZM6GH2h3G\n5oIz1BVpJyGw1RG5ypYtK3Ndxla2RAuTpahmO3oTH3K6QViQs6e5Segv7KuwcQ2EnvpIcb/Z84r5\n+QKcDyMAtXzFFtzzag2HoM2DHGYpcM45yzwneWYzK6pCSnGFFNfbQqQdgd+7Qdz93RXayoS3xh6a\nhMJL7fxvSxQCaWqI8ErhqpuNar2CIAiCkM86V3Ceudqvda6Y9lepjIhvNQi533zzR+elh5eO++l9\nSt63UraC+83gXLsu7r2eU53ncclpdgk41TrI4p7rg8vmrmsD94au6vV0jd/dtw9O0inStDgXCznN\nualKFddS2wlCKvY+PFrVtGtlcPTvd8GchjVD8Hy4oadD8xJCT922dQS4WDXUdsk4DRkVT2uwyHM5\nxTX+cYYDLPLcjN4quN9y8r7FhLeUXG92sYUOsHChsd/YDgdNOa/35uc2XiPzKlYEDh1/fTvk9Cln\nphHefNpwn033m83yYDm3L0EQBEEQtiQivpWQ8qR9dJmYQ62ZvG+x/hoPK22aSTy49TnGIg6GY0c/\nyIm9N3L6imewpuY4vesZnOh8A8deeHxsmwj4HQfudpZEluyY71UTTEkX22L53rz7YIPCWpU8buV9\nhkL48tclIpxQlx7zG3naeoMyKYaY2GZTKe9bBUKhpz7HWVnoadlYlSrAbRWO8VZO8HxO02GNnZxm\nLyc4xDHeWqG3RAEulxThzWXK0Y919/VxHSsjDji7oEJsyF6hfpGMCkgibEEQBEEYL1I+KYE2vdrh\nCCl95KyniW3KZcd8j0urE1hnh9GLVt+0lHmJ6zqz+2pu+vp7OLJyP4f6JznJIRbbA8fb+QbXV5UE\nwbLdNrft9UKMUyr4jiMEu0mq5MGqK6D1aWXnzUtlzRFkqvUhzDordDdELPP/9rnFbEy7sT50WSU5\n/NI3NrXobRyTXZZHXH1mGTOvTX9DcAwt667HXgYKMXAl0HZanGEvN/F2jvAZDvFEMc7wTGBvyZLn\nAm2eBPY3vp2lGIHODTndBpTtJ8MFUdqjy7hVSd3DdySMe/A/7FP8hstk/ZYidAmCIAjC1kHEtwqE\nbgzKbjpcWvTp08q6MTDLpG+rv+/YdlWmo2FFJbalnoAVWr7L6MWub5pv+S4scj2LneuHL5Crbmss\nV10ZNR/Etwf+mdS2TTKJXG85uPu/73hoyrk2TgFO2L4UN9Bt2vQswWhzP4qdq33iXG/Q17hpr67T\nm5+jfbE/EsLnG3vsaWYcNWPROAS42lzJWEL+FnkRi40JZyX99KHyT5LrepuBdGS9nS1vKLSv3cQI\nutietP7uL9rZgqbJDWeuQZZ20e+06e1vszI4RuQiXhAEQdgqmAJy9fvZQumuHCTsNJHcG5m6oadV\nlmmy6ELVMMaZIlSsIIUyl8c4bjKqFKMowWSIKtt/piUYzZpQ1wQShirkYtwrQ8USBm7HuhUNJyky\nlIWebk4rL4oA4TErtQiDb3s2csz5qm4uXEjarmYwglmZ6y2FGiGo9u5lO65CwpvP9WZj8r1tQ5Ld\nk76Hdfa0od3aqWZrBLfpFoUVBEEQBGEMiPhWEfsCf5wOo0nltnGLLlSmqcILKVVPq+C7YZiBp/XJ\n1NjWHIHNt0+n5Hsbt5jWHxInhoWKFMbpenM5X0v9FS437BC2qjmolumUFl0YqniaU8nTcgOH8r4Z\nUnORurnf3OILZcvH1lelzWRIFdvOlXx2SRDg6uYRC4VD+qZvpXHVwc2f6G/jFERJqUI6tFs/yeb/\ndPB3GzzzFARBEAQhjDjWI+xZX8O+O6maty0nxNMsnxNeWnedOTSa963J0FP7fWroadV1xabZ80Kk\nVjoNaTc1bmpiN6CheVWKjkyTkEDnbxs/xmLLz87NvLDV6T3dYo7hcNEqAtysFdvZDCVd2RA03PDS\nEDnhp3a/xfv08NNWpzdcpXKsuANRrustlPvNMIYccL7xxoxhZSGng0qnTdGn3cg+brtBNwudlI0V\n/vnB43Qkt9uAEQHU/E+nlL/PYpV2kvBY3o8gCIIgCD7E+VaC6+QJJaOPPdWP9j9oM8uuuG2L7xrT\nvo5OcYWkOvTK1pWzzlB/iYxrv9lOIaSmalvdNk2xxu5BGGL115o48WYa45xpcr8aWxVHi/bqevF3\nkGfLF+ppyHG/+dq4faSEr8a2Z7LYwspehkW0nP/TOeIuOI8DLvd5iW98SXG9BcavuU6PVqfZ8cE9\nRux9vYlQ63E8vBzlHMMOOApxbpnNiqezsvsKgiAIQk3WuYLzzNV+rXPFtL9KZUR8mxJ1BJDc/Fyh\ndZU9Qa6c922coae5+PSGqqGnoTYpSamrErsnq/E7p+xD5TkEt5bY5t6shVxvucLHLFRRFLY2a70i\n55sburZCdyP3Wy7j3i9TQ0/9YlrauSNFXIvlf5sIHQoBqotnbNnPqNDWFOcoF+IySA0d9bneEunO\nrWzkIO2wPPMu6s1Q8IpiXjTMNyOseIWi8McKrK+0WV7vDH7FFr2s2HFBEARBEKaJiG8JpLrffPM3\n+ojciKQy6aILIXbMN3iDkytWxdqX9TVOE0gnYf1jYMd8r7JIWuemeLtSVbCYpAtO2J6Y0MfNG+vh\n/WmZ7qB8Sqt2EYbK1IgnixVeqON+CzERYSfkEItqNbH/XdWwQ1e4qVGAoQr275BZbKFNL7kAh49g\njsOA+y3XFZdzrK37wpejx8yTFNa2Cf+/BEEQBEGYCiK+JZISUlc19DTcX/WQ1Co0VnRhkoQEr9Tr\n5SZCT5vA3g532xNEvXa7VykXTuq+tXlT7N+fZyXkNDXf27iKLGxlAU4p9Uql1B8qpR5RSl1SSt1a\n0v4VSqk/UUo9oZTqKaUWlVL/yGnzukFfFwd/LymlZmNnmSEuDJxvObnHeoNaxi6+ogvjrnhaJfS0\n7NzjK75QJ/w0ZZ1ZhMIwoxhxzT7JNyWkNuSAi4WcuuNh6DeY0WILZcfBdM/fgxDU2TYDCoIgCIJQ\nAym4MAOY4gomYXRKYQeXKsuMlY6GFdVAP9QrygBF6Ol5Z9o81VwcVbbHvhEZs5jXHnhj6jDppO2t\n8z36u6vvuykhQSnHht3mqvuf5MoHl3jq8AJnrs9zo9hJ85viPHtq5yA6T2ni83ngE8CvA7+X0OUq\n8G+ATw3efyPw75RSK1rrX7PanQVeAJgTQkNx6duL9ZU2cyb5fweYG23jE5nc/X+Wii6kjGluYQVf\nsaCy4gy+ddp0WB7KCTYb46X7fdzzTJVQVbsgg5PAv0+JI88hJqCl5CvNFODK9tsq51UjthlR2KVq\nTsTsc7F9zdAHO8/bERY5zFke5OtY5FlFm1WKkNUJi5hNjDNFP80V2RAEQRC2DzLOiPgWZU9fs3m/\nOCwSlFVWi13c1xHZcmii4mm726e3PF7XRLag1YQgN8l+fZhr/tSL6wo3Mqmuy1j+t9QKqFsdcxy2\nnujzXbccZ99D59i9dJ7zC7s5+7y9/N4Hj9G/Ov04mP6NfT5a6z8C/ghAKVWqnGutP0Eh1hl+Wyn1\nGuCVwK8NN9VfbnJbtx0ru2BpF+sUAlwII0DlOKpX6G440Xrzc7RX17mwrzxnW5BVNoSWXWfhwr70\nRU3V09SxyTdGhqqf+pdPr3qaRaWHN3spBJf9jDfMsKQi6hJ5rr2ytjPkcrP3dZtxOz+rcBVPcZwf\n5CCPsUCPJbqc4iDH+CPOcPVmQykdKgiCIAjbBgk7LaG9eimrfezp7TgcCakiSNWiCyEazftWl1DB\nA99Dbd+03NDTSdxs+ApFVFivSW49TqYRclpH3IqFnH7XLce57sRp5h/vs2v9EvOP97n2xGm+65bj\nFdazp/I2bkWUUi8DjgIfc2Z1lFKfV0o9rJT6faXU9ZPfuhnHHEJLu1hfadMfSqreHnHoTDXvWwkp\noacbbZ3QUjf3m01ZaGmdvGHjp8zFVifXW6zoQoMin1towSfKufneFsbzZHq54UF4Gg9LjvMjHOWz\nHOAcu7nAAZ7iRu7lOLeMNl6iEOFWgKVd9Fc2zwtrl9k4IwiCIAgpKKXerJR6SCnVV0rdo5R6eaTt\nN1npcS5ZKXOeYbVpJJWOiG+Z2EJDWeGFlHm5mHXG3UrViy40mvetqaqnTeATsyZBzj1CSkhqxXuO\nVkk4qjuvqX22vXopW8CeNObG66r7n2TfQ6M3sQrY+9Ay7ft7UljBg1LqL5VSa8CfAe/RWv+GNfsv\ngDcAtwJ/m2LMuVspdd3kt3TGKXHd+hxcZfviJPdVk/dtZHrNYkNVii/MljPXFtb2WtPsl0uZWOcT\n3M4F3gtTxx63W3CEBzjIF0ea7QAO8hBHnr7//2fv3cMsu8o6/8/bSbq7TlelK0kzHRCQtN1IR0Eg\nIAR0HMwIoyb4G5wZjCIIgqA44wSQGZ0HA/GClwEchQxkLgbmh5E8zujPRmfi4IAMhoAkgEoK6KY7\ngJpbp1PdVXVOVXXS6/fHPqtqnXXW2nvt27lUvZ/nOU+ds/faa+9zap+z9vru7/u+Izs0RVEURdlq\niMhLgXcA1wPPAD4P3CYi+3I2M8Ah4NL+47HGmAe8Nqed9ZcC31j22DTsNIHOyjm6e8rrlHXCSu22\nfj64LUteyGdb4aCh0KHYvvy2VY6pbL63Fowt9artpgtyvuBW9TtUFfe7kvq9uejoIrsW/eSAGbsX\n17j42MOcvHzfQJ+TNcnf5OO33MvHb7lvYFn3dGv5Eb6D7BvxXODXROSYMeZDAMaYO4A7bEMR+SSw\nALyWbEBUYNP5tgyQhZ8CG7nf7Hm2ER7tnHc27NJ3fiXnyKoSQtlg6Kkd25rO/bZ1yRPWCkJO28Id\n27wbRHlh1C49OqWd+G76jkn9LWYPmXPN4RAPMh+5gNjLIgcfPcYCahBWFEVRthbrXMBaA46YdS4o\nanId8D5jzAcAROR1wPeTGQJ+PWe7B40xeRdatVPpqPhWgVjut431Cfls/LxvTYhsW16gc/HFL/e1\n+3wOhqKRQstCYlqoXdljbLJd1fYeMddkldDkMiGnoxbgyvLwoXnW5ndx/gPDn8/q/C5OHfRjqtop\nrhBild2lvtvPuvabeNa13zSw7MRdi/z8FR9r+MjAGPPV/tMviMilwFuBD0XaPiIinwUONn4g08wS\n2e9P5LvdpTMQxpmJVoPnqS9KzY0sgWX7FOV+s0yUODeDV7nS5nyzf2PUFc/cfZTsa9b761c59UNO\nR5TvbYm55LDiWN63ULvwvqq/qZ2zXdYXiz/zoxxikQvZz0ND604zz7HueH4ey44z8X7CLlhFURRF\naRsRuQC4AvgVu8wYY0TkI2TpcaKbAp8Tkd3A3wBvNcbc7rWZFZF7yMzqdwE/b4wpZVef3JnwhJES\nOpcSejrySpIN7K8zF35fSXnfJin0tGmqXqPnFVvw5wOxfdT8XOs54PK3bSvMtEjQTkng7ud7cyca\nD11+Macvu3CoFKcBHj4wv+F689FQ1AHOIyfIW0R2AE8F7h3ZEU0LD5MJcP28Tjb3myWU960Mo0g6\nb0NP/bxvZUNPy+Z+m6QKr2mEBJoLI8tdquR2c9Y1lwGjFDOJ7rctR6RYxQKXc5wn4I+U54DjHGBh\nx+X1bvwpiqIoyvZlH9l85H5v+f1koaIh7iWLyvlB4CXA14GPicjTnTaNpNJR51sO4l2ous4d1/2W\nxyjcaHX30URV1EZoO/R0F+BHFdYJPc1r64tmZUNOE9ixpxsVRpugDUfXpLvf/seHr+EHrv5jLjpx\nmt2La6zO7+LhA/PccuQHC7ed6NCnBERkD5kjzVY6PSAi3wacMsZ8XUTeDjzOGPOKfvufAr4GfLHf\n/ruANwK/6fT5FrKw02NkU9E3A09ksBqqkvM1XlqfpbPThp3ODJxjWZjm9J1zRaGnIabK2T2PF2po\nK5y6rremwkNPOX9t/rgE15sTOtwIrjG4RUdclfDUsbCH3GuWa/gvHOFlHODv2csKp5nlOE/iGpzi\nPgnXPKtjS2irKIqiKO3ziVv+jr+45e8GlnVPn210H8aYLwNfdhbdISLfRBa++op+m0ZS6aj41gBV\nQ0/rYkNVU3GPMxSys9Gu06XbnYJJTh2xLjWkNKVdKAS2LO4kyL+WLuivapGM0KS97qRm1MUVyrp/\niujtm+G/3vFy9t19kouPPcypgxdFHW9bkGcBHyUz+xmyRKUA7ye703Mp8ASn/Q7g7cCTgEeArwA/\na4y5yWlzEXBTf9uHgTuBK40xX0QZZCjv2vkb331X2LUilaU7LjGiRt63MuSNpXnj2NiokkOvMr7j\nzRXgYCQ54Fq4seSSCc7lbjKlhp6Ok4d4Es/j9zjM/+Ug93KMK1jgGWQ37B0W2RTyHgZmYX25w9Js\nJspPwZWaoiiKogA2vUG567ZnXnuQZ147mI7hnrse5q1X/O/YJieBR4H93vL9wH3DzaN8Gnh+bGXV\nVDoqvhUgK2Cci8si91vKZMC/2x/L+1a0PI+JnJS0TUxwSxXaUtx1sYnViHLfxBjH5LtMvreq1D2H\n874noXV22cnL91US3dpyvzWRi2eV1dz1xpg/JycVgTHmld7rdwPvLujzDcAb0o9ym2JPGfvb0v89\nWe+Hnc5dvDyQ922JuaGiC3kChStGdPfsjFYmHcIeTw2BZZYllvsOvZRz2C+8kNcmj8lzyoXcb3WI\nhZr6AlxNGsr3Nrez3RyEZX57Y/neUpmhWy234BzZ5+d8VRf4FhZ4IhUKpimKoiiK4mGMOSsidwJX\nAX8EICLSf/1bJbp6OjlpcpxUOn9c5vgmN/5rgpCEu9h5F32b+W7GlHBl3ExS3rdQhEZoYulOLOrm\n73b79/O9NViUoUOvtPATK75QhVG73mLEJtxlXKJt7F9RotiCC5blwddL67P9xZs/Rr4brKxQXehU\nq+je8vO+Da3v/0bZghAzpOeDS2nj54SrNe4+XLK9P1ZE/yUp+d3KELq7s5BfxQAAIABJREFUVELg\nC+Umi+Qry8Udp+bTqytXEbLqFEZwqft7bUXtAXHRP7T5wDJg8xyY816PhxU6LDFX+7GiY6CiKIoy\nXt4JvEZEXi4iTwHeC3SAmwFE5O0i8n7bWER+RkReLCLfJCLfIiK/CbwAx2QgIm8Rke8RkctE5BnA\nB6mQSkfFtwqkigzjcCO1lf+nVtGFMuRdT4fWlW0/ycxFnlsS30/t0NHAZNUuG0V+qXGJV03uVwU4\npTSLZIKbK3otbprT7Tnlimy+4BYSMRo5F0cWRhkm5TetkfF2se1gAN+RdqH3qMKS8zdm8c4ryDA9\n5LmVfcq621r7zY4exsXeX0VRFEVRmsAYcyvwJuAG4LPA04AXGWMe7DfxU+nsJEu381fAx8gcbVcZ\nYz7mtLGpdO4mc7vNUiGVjoadJuKHn1qqhp42TV6IzcQUVBgFZUJPQ8vqhJ7G2o6BMi64vHZTkdi6\nAqMQx1bZ3fo+lC2C/zWzjqt+fie/WqSf981f5zKNBRksKWPpxKZYGCq6YLHhpyFcAS7PuVYkpjUc\nelrERcVNqlC3uEIo91vdkNNC5h+B5f6l9SzD58AeMkdkDzZDkC9m3K43RVEURWmbNXY3okmsJUQ1\nGGNuBG6MrPNT6fwG8BsF/TWSSkedb3mUjFYpM8kpE2qT308zYYNbVWQJ0kToaRVRLXbNH+urrNMv\nwCROvOuGp4aEs20jLitbkx7ZjQDrfrP0n/eWrett+DyvlHuqCqEbDs6y80/HN7UCSMcb92KhpzFh\n0SWlTWuEPosqYZq51HXCWUrml5s2x7hD6Pvhim2tC29FBM+ReqJbd1x3+BRFURRFKY2KbyVwc7+5\nAkJe4nl/UhHLP2PXz3jhfUXLy+Jul5cLp2oFzdaZ4onBBnn53kLC4ND25XLoNZnXLcak5HuryqSH\nia6xix4ztR5rSSeXMhEEQk/9vG+u6JZ6/nbPG7EjO5L3rVafDdxQcD8vK2xGqRtyG/zILybNmVYk\nzLhCW0hka6KwQwA7djWg+8TO3SZ/k5eZa1x4KxR/fTfgQD48+8Q63soLcL3lzsSPW3mIyOtF5ISI\n9ETkDhF5dk7b54vIJ0TkpIh0RWRBRP611+bVIvJxETnVf/zvUJ9l9qsoiqIoTaPiWxFVk05PQHGF\nSTiGDcoIRmUFNr/9bOR56Nq7Rm61wolHEzekGxIbiyaspQs1jKDSaV0GJtg1w9J8IUtRGmWJbKyx\n7jcon+x/gkiuplqCkbmzmyjKmfzbnyrCFXHG+wut5Hlr3N2Xjis2T5rTeeMm6WzkHA0VXRriQjbO\nhbzPeZnWchNmVbVnaj+KUi6IyEvJcutcDzwD+Dxwm4jESoyvAL8NfCfwFOAXgV8SkVc7bb4L+F3g\nHwHPBb4O/KmIPLbGfhVFURSlUVR8S8ER4GLut41lExjm1xQjK7owCpqqehqbZPnLG452qfKZlzk3\nt/J5XJaQ2KYinNI4i2yONcuDf9e9sFOb46w3IDBPliBRl7mNUNUJuolUlcKfiqZEOEuBKyuYiy6H\nMuPXCN3ptuLpxDnAgi43b/nGOVEi39uYC580yHXA+4wxH+gnqn4dWebLV4UaG2M+Z4z5kDFmwRjz\nNWPM7wK3kYlxts2PGmPea4z5K2PMl4FXk81xrqq6X0VRFKVZ1rmANXbWfqxzwbjfSmVUfGuIMk6g\nticTKpyMmbr54PyJzlYItZ0g/Ila3sStSGBTAU5pBPcn2+omvhDXJmNMGxXL+zZRVP0flHaKhQS4\nImGmpdDSMVInj2EZIa6uaFd4rrrfq/nI8g22R9VTEbkAuAL4M7vMGGOAjwBXJvbxjH7bj+U02wNc\nQN8C2sR+FUVRFKUuKr6lUsL9trGuL7LFJhXD+eDqTTrqVq2cmqILZQsRNBl6GnO/uY88/HxvNSa9\nMSdiHnn536r+/8eV7y1U4XAcDohRCHA9dtOlU+vR0+qrk0uPfjhZ/3Ug9DRWdMH9HuRV/Wwt2Xxi\n0QVLU+NdKimVUNf9vG9tCJ7JPxNVRRgbZtqgGNeyKJtapXbwHJ8wl1sfez7vtKGnseuOeefvgPut\nj13mf10jbsUprKq9DzgPuN9bfj9wad6GIvJ1EVkFPg28xxjzOznNfw34OzJxrdZ+FUVRFKUp2kkc\nsVVYrbZZh26tC8QZevSY2einqD/bXnGYpbkJVN2+Uue8bihsXh47hyqFMcpOeq2IPE5HyjhC6vQ7\npYyFFbLfjGU2xY/F84d+A7p0gknfl5gr/K529+yslpdthdKCTOfRHt3zZphlafzVJh1sAYvGmaMw\n6rOYi6mWs+0U0+6g6jKzNUKNLbNsCmf2WmKORkJIl9Zn2Vu/m1rcecsx7rrl2MCy3unmcz72+Q6y\nT/G5wK+JyDFjzIf8RiLyb4F/AXyXMaa1g1EURVHKscbuRuZ0a9N342kDFd/K4Ew8ZAWMNwmZWevS\n29WeSFBWlIvhbtehF7373Ol06XbHdJe5SfEsxi5gzVu2h+KL4pKTq8Nn7ubQ8lGOzh5iYfbyUoeo\nTAc9ZkZSVVbZoiyxKdLP919bh8wyG8Lb0vosnZ3FIniXzoCT1Y4X251S46Vf8KJsnjQ7lsw7285A\n+s9EGQHuFIe5l0M8yFEOsVCheuak0vPO5dhy9xwf5fneoTcsKs8/Asve5fUesvPAinHu9eOEDB1V\nJkWXX/s0Lr/2aQPL/u6uB3j3Fb8b2+Qk8Ciw31u+H7gvb1/GmK/2n35BRC4F3goMiG8i8ibgzcBV\nxpgvNLFfRVEURWkKDTstIuHuZErY3bjy2WypO8hFpIaehigKPa1gkrhk/SS33/lcPvqJF3Drp/8F\nH/3EC7j9fz6XS1ZPFu87ROQYpiZceEzkOdhik/Eqrjd1yimVcceZxfByNzTSn+yHcmTZSfSkhulV\nodVxtGwFybJinKXSz8SF3t9NLmGJ23kHH+W3uZXf4aP8MrfzJi4hEgM8pksC32kYckEWCT+h83xp\nRElRZ/oB/CG3qWVup3fH8KL+Xz/3XywXoD03EtylQ6HSU4Ix5ixwJ04hBBGR/uvbS3R1Hl7pLBF5\nM/DvgBcZYz7b0n4VRVEUpTKlxDcR+SkR+YiI3CoiV3nr9onI8WYPL3ocrxeREyLSE5E7ROTZBe3/\nkYjcKSKrIvJlEXlF5Z0nhgps5rUJX+kW5YNTCki53i6Tt60sCX0c+dzVXPnwp9i/9gC7zDr71x7g\nOSc/xZGPX501CF1gu/22OKfYSudbmTv1W0mI2Mpsy7FmkUG3b4K4U5SYvkiYeKTFmLVKYa0eRRVP\n84SQFHqjEjB8saVBnf4I/54r+Sr7WWYXj7KfMzyHL3OEn2tuJ2Oizu91k7/1/vnnv54NnYehr557\nHsyRXQPY3G8zgTYW/7pzFEVY2uWdwGtE5OUi8hTgvUAHuBlARN4uIu+3jfvjwdUicrD/+HHgjcB/\nc9r8G+AGssqlXxOR/f2He6Xl7/fjZM6379g244yiKIoyVpLFNxH5V8BvAF8kC9b7ExFxr+7OA76x\n2cMLHsdLgXcA1wPPAD4P3CYi+yLtnwR8mKzC0bcB/wH4zyLyPck7jQhuElhepuppiKZEkbbElViS\n/x17plTM2RVY1kCS6cPLd3Ng7cTQ8h3AgTMnOHzq7vo7cdhWDscEtprIttpAwYVpScy9LceaVTZD\n2ZcZHHMeZmCyHTu3t8I5P/abUb6o4Y/xtXO5OSQJcPn52w7zNQ7w4NDyHcAB7uUwX6l0aOOgToVT\nyygrncaYmfXOXXs9Yd+eVi/HGHMr8CYyseyzwNPI3Gr2ZL4UeIKzyQ7g7f22fwn8JPCzxpjrnTav\nI6tu+vvA3zuPN0b2+1fA84A/IKtSsvXHGUVRlDGzzgWssav2Y50Lxv1WKlPG+fZa4DXGmJ82xvwo\n8ALgOhG5oZ1Di3Id8D5jzAeMMV8kG3C7ZHe7QvwkcNwY82ZjzJeMMe8hG5yvK7XXlcjzPk1XfJyp\nmOS+bsVTxSMv9DRnrnDIHGV+PWxd2bu2yMHTgwmKgyJgaJ+zJr7ThomdL3UF5jqMQmCoEz6qoaeN\nsH3HGv8nI8fhklopsjItV7p0mWvByjMRIqX7GYYcTZX/hZkod4i/Zz7yO72XZQ7y9ao7aJWU/4Ev\nxlWpeNrm/9ofH4PXXrHq5rNsng97GKyAGtrexctFOC03VXyMMTcaY55kjJkxxlxpjPmMs+6Vxpjv\ndl6/2xjzVGPMnDHmImPMs4wxN3n9XWaMOS/wuCG0X+Ao8KPGmJduu3FGURRFGRtlxLfLcPIiGGNu\nB74b+AkReXvTBxZCRC4AriC742OPw5CVEr8ystlz2Sw1brktp/0mCWaikPvNxw8xrYK9sPNFOX95\nXaZeoMurEuo+DwlnVW68R/o5OnuIxZ3hxC6nd81zbO/B+PYV74w34RaZJAdd6+KCMqlsv7FmieG8\nbwGXVShMchyVgJtiVA63vCqrQ7mzfB2w7RC/Gj9zR3kci5H//2lmOTZgHhoRFT6vqiKZPffbzPuW\nm+PNW2fP552++83FDz31l5cQvZsOm27CYT1FLuvtN84oiqIoY6eM+HaSQRs4xpi/IRusXgn8eoPH\nFWMfmRX8fm/5/WQ29RCXRtpfKCIxv1GYxHxv1hkUm1j4+eDGIXhtiZxfTV1vlwk9De1zbvj5woWX\nc7xzGb4f8hxw/MIDLDxBq55uVdT9VpvtN9bYqstLxMWLhIIAKUJc97zxn5/jHn/85P9D+JVOXVKu\nA2JaX1Gi/SA29HS42MICT+Q4jwmPMzyWBb4pr+ORUVYk8m+81BGYQ8Jes/ngIufy/CPZ31DRhVk2\nryVs7jeXOeLnitIU22+cURRFUcZOmfJenwBeAvxfd6Ex5u5+otKPNnlgk8B174a9e8iGxj7X/gBc\n+/1kF+DeBVNn5RzdPdULyHbothIm0aGX6yLKW9/pdOl2p9dZ0QizFN/ND0y2rrnywxz55NUc6J5g\n79lFTl8wz/H5A1zzvUeS+9jYv0NT+fWackvWpbermfOr7Hcn1L6qcHb3LX/Nwi1/vfF6B+dYPb1a\nqa8Qa+yqLeqtRWObJ45tN9bAdXD/XthNJvx8GXj6tfCEa7PVywz8DnTphJO8t80IQ1FTaCJPGFAs\nbFatbArZZ+YKdvOR/maoVIn0Gt7GEa7nAPezlx6n2cNxLuUaRmLeKU2XzoBg1WWmlON6iblcN5rf\nv13WJh16G+7KuZ3Lw2LhHrLv8BzxcyHlu/Xnt8AXbsl+J86HszOPsNg9WbiZEmQbjjN/AkOuxKeS\npY5TFEWBLO3kX3vLJms+Y/uZVsqIb79KZo8ewhjzBRH5buCfNXJUcU4Cj5JVJ3LZD9wX2ea+SPsz\nxpi1QPsN3vXT8MwnU3hRJCtgGpyUtCXCKRQLaXM0llT7oV37eN7Vd3B48W4OLh3j2P6DLFwccLyF\nfj+2cFLmPIE6PZfP+N07Lpdf+1Quv/apG69n6PH3d93HTVe8P2crJcK2G2vgXbDrmfA4Mi/GLPB4\nson5LJvumVHjC0dTQEyQ839bhtxYRcUWQlQNSY0JcElcSJYfPuMhLuR5vI3DfIGDnOQYB1ngMM2U\n9a7B4vmb7q8Iy8wNicg9OgPRACExLW95FZq+3pqZ7WbhzO71xizZ/9xeK7rnTup1xxXXwvddu/Eb\nccHjzzB/z0d54Ir/p7Fj30Zsw3Hm+8gGGUVRlBjfxrAg//fAjWM4lq1JGZvWP8cp6x3gDPD8eoeT\njzHmLHAnsFESXESk//r2yGafdNv3eWF/eRqxi/Cci3M/9LRKiGldZ9K4Q3vGRl7eN5eiuUmZ0NMc\nFuYv58gTXrwpvPnVzxpk6nP2Ncy4QkA19LQW23Os6ZGNKQWijBsyaUWDRsToCXO1NUGjIn2dmzKh\nz7aRAgybg8gC38IRnsoC31C2k5FRFO5b5GQM/T9Ded/GcfMy6kR133Io9NQum/P+5uFWPz6rY01F\ntuc4oyiKooyVMuLbK4BPi8i3+itE5LXA3wD5tzmb4Z3Aa0Tk5SLyFOC9QAe4uX8sbxcR127yXuCA\niPyaiHyziPwU2d2sd7ZxcKlVT31RLq1tmrCyrSqetpn3re5+mtzGW96Zm4yQ0VHQVEJ5dZNODdtw\nrDnd2EE37grd4zymHP83oHKxhTphqC7Jeb0uLm5Sqt3oGPqM+/j/i9Dvc2NhxSPCvfYaKLrgOldD\nb8kX4MZElw5LzNV+TMlYuw3HGUVRFGXclBHfvpVsMPqMiPyciOwQkSeKyEfIEpO+yRjzva0cpYMx\n5lbgTcANwGeBpwEvMsY82G9yKU4SVWPMPcD3A/8Y+BxZOe4fN8b41YLyWYk875NS9TSPKo64tiqe\nFrGdhJ8oZYW1UYl3ijL9bO+xRimk0cm9n+/NL7bgCm11xvlU8TJXO3WLLlwcWb41yCu6MCpRLnQj\ns0OXOZbo0Atetw1s44bduv//PWSCm1t4wSVRlI0Jm0oSOs4oiqKMmLPsZI1dtR9n2Tnut1KZ5Jxv\nxpgzwMtF5L8D7wNeSlaq+9PA04wxX23nEIPHciOR4GNjzCsDyz5OJLdDLikaU6DwQh0mId/bDN3G\n3EZjw8/t5udesc9DuVaayPsWE878c8U67qbrBv/EEDpPx/39aYNVdtd+X6tDiZYnk2051lhVx80J\nFWB9ucPMbHX3cijH1lYhNmYtez+uhZVOYbR57mrlfwtRIMS1EaX4MJm7yysM4tJzzt26RRc2txvs\nZ4lZ5vqDe5M54SyhayNb/MEVCweKLvjXHtmBDmPPgyLhbYXx5YDcQmzPcUZRFEUZN1VKc95BVgbj\naf3tf2mUg9RIuY+44y3n4tyGnsbyvqUwinxt2zYnXBnciXBqLrkUx1qe2KaOt7HQdJ62aa7EMyFs\nm7HmSXxtcEEo3LFqcv8I3T3Te9ewiCKhurDYgk8VvTL0Gx8TVpPDT/Nowf1WJELG1tvPs6iKLMPi\nKAwLqe7/My/v2zjxr+8GRHJ/TJ8j7H7zc8Ll0fDvwTZm24wziqIoyvgpJb6JyLXA3f3tDgP/EfhT\nEXmXiEyHraIMv0Vm6C66K92/AE0NPZ0hPYdbU6GkRcJflbvOW44qWkmKUFZHTHO3nTU1OhpmHEUB\n8iqdDrQLHFuTjrat6I7bSmy3seYmfp7beS6XmJObCxfZFH38UMgCyoTlPbK3XN9DVHB+V/3+VRVZ\nkvZXNt9bm+JH4U+zK7TNBZa3bKWu8d7LFl2oE2La5O98yjWS7yodyvuW912peJ2w2t1yP4cjY7uN\nM4qiKMr4SRbf+tbs/wS81RhzlTHmS8aYNwMvIKtf/XkRubKl4xwPy8CXgDc7y1oIRylTdGEcdDpb\n0CFXdKFb5np/1vmb12/RJHUbOt56u1QEUwbZjmPNJZzmOXyKI2tXD6+MCB0hx9AkMW5nXVHhiWC+\nrCr53soKUZXdb2MspmA1pYrhsXWKLrik5H1bGvNAOnStNu/l7HcrnLrL3L/+cqifCiOBVXbRZab2\nY3UKXN/bcZxRFEUZN9tpnIlRxvl2KfAMY8xvuwuNMbcDTwf+F/DnDR7b5HAfcE9geYIQZ0NPU0gp\nulBWhNsWoaWp4Z+xdlWEtjrL7f4039sAdVwKW93JtsoMXTq1HqtjcDpWZFuONTuAA+YEh9fvHveh\njAz7vY0JJlZgyRPS3HV5Lqngb0QoLHIU+d4ayxNrBbnQ+568yqduuO+w8BZyOxf/Ztl+Yq7IorGh\njbFj6LordGPODT0tautjReKEsF4lyrYcZxRFUZTxUkZ8+05jzNHQCmNMzxjzM2TVd7YeK8BXvNeh\nNmyGntq8b5Yyed/KhKPG2ub1Uaay6tiYpHwmDRbUSCbh5n0bjsSUyc643Wopx6hMNdt2rNnLIgfP\nHmul7ySRoeZvXd0QViugtCWmB0Mei/LrhRxHoxifoj9zRbndKtzNcR1tVd+bFYSWvb8VBaKyed/a\nZC5wErgVT4Prdy4PF0fJK5SwDZ3vY2bbjjOKoijK+EgW34wx5xLafLze4Uwoe4DHRdZVvEvetABm\nxbamcsQ1zrKM+wjSaNLF6l5Mp05qa16Ap+ZEGodTLDXfm0udRNpuTrut7ozbSmznseY08xy74GCl\nbevkxppGUt5vMJl/KAQyJDiFQk79sMs6IlxoTKhVeCH0ebRQhMEn8RrIDT31RdChirQ18775Tsqm\nf/9DNzczf/Hw9ddOX4Dbw2boqe9+Kxr/AyLpI5rzrRLbeZxRFEVRxkeVaqfbj0uBJ9JSvre4CLct\nQkankTbuUOf1OaY74slCXgVRTVGUQc4Bx+UACzsvb6S/kQjOCTcVuue171LqkRfOOPw5JOV7K0vF\nfGjVscKaG146QgG2Ifdf0f/Ld7mF8r4VhZ6G+o0tK6LoxuksS+G8b2XHcXXCKYqiKFuMs+xknV21\nH2cZb17hOuisOY89wCHgrYF1OUKcH3qakvctLxy1TTdbTOAba2jqqEJOmyy6kNr3BOR7mxQXWN3w\n1dBEa1Le2zQjIq8XkRMi0hORO0Tk2Qnt7xaRrogsiMiPBtr88/66noh8XkS+t713MH08xF4+xXO5\nZteR4ZU6CR+gyne8cr43N5qwjSqnraU0cAW5iu63mJiYJzImhJ6WzftWlVAewVGOD8Frq1nCoae+\n+809dN8NuRx53gCr7KZHp/ZjFXXjKYqiKEoIFd/yeC3wK4B7jZ6T763IGZeWy609J1xRvrmUfHRT\nT9WiC3UmSVW3DRzrjj3T6YYs444LJ95ud9LUm/A8cmvsosdMrcdaQky1iLwUeAdwPfAM4PPAbSKy\nL9L+J4FfBn4BuJzsVsV7ROT7nTbPA36XrLLc04H/D/hDEWnG4rUF+Al+hefxSR5yP2Yblgb5uaIS\nmARRepTVWZNFnGWGBQz/dVNVTqcV+/7zqm22EHoK7eR9c4vQlKXsNVIw7xsMh54qiqIoirItUPEt\nj/0F6yuGodYVubZ0OGrTE5q2XCNtulFa7LuKyGQnOXmTlbqhp5MgDigAXAe8zxjzAWPMF4HXAV3g\nVZH2L+u3/31jzD3GmA8BNwH/xmnzr4D/aYx5pzHmS8aYXwDuAn66vbcxXdzD4eyJnYxX+A0IJX2v\nROrNAq+dW2yhuyceDlD1ux52uqZVOoVM7Anme4PhkNOyIaRNhpzm5n2LVTC9OKFNC+SN1yXG8tA5\nkZr3rUzoaRnsjdDUm6Z537+ds90s9LSI1Jx/7rXnslY8VRRFUZRpQcW3VFrI91bX5ZYajrqlxbo2\nqFt0oaq7rqboVjSpLVrf1KRlaL8t54QrO5lXoS+MiFwAXAH8mV1mjDHAR4ArI5vtAla9ZavAt4vI\nef3XV/b7cLktp08lxKz/siGxbUzY76END/QrnW6KKtUcTjGnXTDfG5QLOR1V6GlhxdO8kNIWiy2E\nxEb7+flCZsnQ09CyvLxveYRCT5vEVjy12KIL0e+mH1K62dHmeZAqwNXNUagoiqIoI2aVXXSZqf1Y\nbbRC4mhR8S2PmGaVEHpaJu9b3aILto3fdupEt2kL46l6Xe/ne6vYT7ebLiKNQnAKiWwx4S0l31uR\n00VpnH3AecD93vL7ycrOhLgNeLWIPBNARJ4F/DhwQb8/+tuW6XMbsre4SYOMoghCm/uJuaBSii0A\n4XxvkB5yOtBXQpuRcDFpzrgcisbgBvTeotDTIqGtidDTJii6vrLBrUEuYjD0tCrTds2kKIqiKNsc\n9auXYYXhu9ShZTl06EYnBB16jVxMztArDC+coVvK6dTpdEuJPQMsS7XtRsEs+Rewc2xOOPZQPBnz\nhbTWEmqn02OmdNGOLp3cyUVvVycoKGvl03ZYZXcpAfVvb/kL/vaW2weWnT3dihj/i2QB+p8UkR3A\nfcDNwJvJCngqqST89O8M5Y9qgEf2wvmnS2xQ8netzXxvReNY9HsTyvcGmZiW6nrLE96mxZi4xLAr\ne5nBsSzvOsdvC5kr6yJnXaiNR2jMWWJuIJzTf+0vt3306GxEFiwxy1wDKtUcS4WhzcHtdi5vvPf1\nxQI3or3GmGcsom6XPexs4LvanYQLH0VRFGVbIyKvB95EdrP/88C/NMb8ZcJ2zwc+Bvy1MeaZkTY/\nRJbP+g+NMS8pc1wqvhURu2gsKbr5lBXaUgS1UdKZ69FdavB4pvUOriveTWBVwiIRrWy7NmjDyTBJ\n35Vx8Phrn8/jr33+wLLFu07wsSt+Pm+zk8CjDGe73E8mqg1hjFklc769tt/uXrJSNUvGmAf7ze4r\n0+e2xlY9HPdvSd6NhsC4N6p8bynbh35DfIfVAA+T72avwrQIb0UsEndmhdYVXRctnr+R+6y33Nko\nRhAafwpvADkC26gpe/Nyg/lHgPPD1zvujT6IC3CLDP4+TFmAg6IoiqK0jVNA7ieAT5PltL5NRJ5s\njDmZs91e4P1k6XKC2f9F5EnAbwAfr3JsalNJoaww5IWelqXNiqdbkrL/n6o52erQckWzaQrHTAk5\ndQlNuMtMfDTHWxrGmLPAncBVdpmISP/17bHt+ts+aoz5+36OuB8CjjirP+n22ed7+ssViy9k7Aks\no++kSWCSxwo/31u8Xfx3La/YQrBy5nInnu8t26h4XYrrbeTCW8hN1WK+t9D7C312D3vrnDZ5oacQ\nq3g94zwvvmHjjhFt536DzaILhXnfILsGiYWeuuKl//23XU7rzUpFURRlW7PKbnp0aj9W2V20q7IF\n5CzvBT4I3BFa2Y/y+X+BXwBOlHnvFhXfypKQ783H5n0LMeo7t6FKq2OfpE37hWQsiXLIARDL9xb7\nW4NU0amMOOW2LSuitY2KbI3wTuA1IvJyEXkK2SDUIQslRUTeLiLvt41F5JCI/IiIHBSRbxeR3wO+\nBfh3Tp//AfgnIvIGEflmEXkrWWGHd4/mLU0B/u+CS4sRXHkuteB+C1xvA32XyPcWK7YQIjX0Lzff\nW2zMiYWchtoNH9gEOt4aFOFC1zd5hRdiRAovQPY/84XTJeaSbrY72b9OAAAgAElEQVT4VU/bwr+G\n8osuDLbN8r6lCualWEGLLiiKoiiKR8UCcojIK4HLgLfldH89cL8x5neqHp+Kb3Uo6WwrW3ShbiEG\nZQuwIcaZUpulOuFC4Znutk1XQPUFu9hESYstjAdjzK1k+RFuAD4LPA14kRNCeinwBGeT84A3Ap8j\nK76wE3ieMeZrTp+fBH6YzPr9OeAlwA8YY+5u991MGVbYCiVhj4jxrY8De7xHASExb1T53lKqZg6w\nTFy8WPHauX9jwtvIadjdVlZo9HH1Jb/yaUB78l2Iqf8/V3wtMz6luN/adMjNzHaznI39sNsgLTvk\nFUVRFGUbULqAnIgcAn4F+BFjTNA1JSLfAbwSeHWdg9Ocb3msOs/d3G+1873Fiy6UbZ+aCy51n24u\nusp5TUZJW665XcBaS31PCGXyvHWZid7db+54yotr28XtVrbgQqyPFIwxNwI3Rta90nv9RSCYjNRr\n99+B/550ANsRO+meDyyzOJP24crW7X43m8Cev2XP41bzvUE2nscKL1hi48zEON0uBM44z2tQokgC\nMJj7rWibyPql9dkhd1hozImNQ7Hlfl64poovWMpey20Q+4zsORfKuRi77mxQf29inLH9KIqiKIrP\nWXaythHukca9t3yc+24ZTK/2SINF5PqhpB8ErjfGfMUu9trMAh8AXmOMqeU7V/GtKeyFkfdXVsBE\nhLpQ0YWqFU/tRaB/MVj54nBU1LkOnvZw1YbwJxgpiaibKrAQq3oaa1uWiT53FaUpdjMciu4/h40E\n9UWEKkK2QZ2QU+syioWcVs33FqIw3xsMh5zC8BjjCnJjE94uBk6NZ9euAORWSc0rvuBXPoVo4QXY\nPA/8nGn+uJZXHbXpAkKh66i8m5N23226PhVFURRlO/DYa/8hj732Hw4sO3PXV7jjijfENilbQG4O\neBbwdBF5T3/ZDrLU1+vAC8muZr4RONLPh23b0G/zzcaYpBxwGnZaRCj8JLY+h7y8b6nMlHA3lGnb\nKstS3KZSv+102woNXn+fW6knRmWpoOOT2hSnoz8JSRHVQm3qVj5UlC2HFSfcGzYXjWbXMSEtlVGE\nnKYIbbn7zMv3Zlkh7HqbCOEtjwsp7XpLTZ0RC0kNUfT5RgovQDz01P+/lwk99dfXCS3NE7WzkbU7\n0GZ2owBDibxvRaf4Etn/Y5l6FXkVRVEUZQtSoYDcGeBbgacD39Z/vBf4Yv/5p4AF4Klemz8C/k//\n+ddTj0/Ft6pUrWQacAmFXEqjKMQw6mIPQ1QV0KZJeGsKT8TsLoUFtDxBq6zYNUrXWZN55vLExXDl\n1HZyye3a6nHLSnOEKpu6rwN6QTzJ+2huvJQR66qGnPrbu+Tleyvcj833Fgs5JWf5RApvLVF0wzFW\nnGLZaxvK/bY4GHhRpeppyvIQTed2S3WaDuR9Cx1CrOppHtvpfFQURVGUNJILyJmMu90H8ACwaoxZ\nMMb0jDHrgTaLwFK/TU5C10FUfEuhyP3mt6sozKUWXdi2xRaWmR7hrUql05Yocru57UJshoXlOOZ2\ndYLuttjy8kJg/vHH+tsqYaur7KLLTK3HaskcC8oY8IstBH5H/N//cdxE8YU31/XWZMhpmcIr/vIu\nneJ8b5ZQyCkMu962qtBh35d9n0U58FIEuFBbi+d+S6l6CsPnQ15BhqLffl+AKyPINSZwz5I5W/eQ\ndh2whZxuIvJ6ETkhIj0RuUNEnp3T9p+KyJ+KyAMiclpEbheRF3ptXiEi50Tk0f7fcyIy9OMoIo8T\nkf8mIidFpCsinxeRwryliqIoSn2amM+kzGkqFJAbGZrzrQliiXBzCjM0kYtt4vO5Ncm0iG51qCDC\ndbsdOp3s+jKcoDot943frqjAQqzfKnnd8vZRZ72iTA1zDH7/Xd2hv3xnYr63SWE5UQRJJRRy2li+\nN4sfclrU1qdKIabWBJWGqqGmFF5w87/FtivI/WYJjS32HHIdZja/GxTnOY2tb8IBN7brsEUav3G3\nyi7Ob8AJXjQpEpGXAu8gq4D9aeA64DYRebIx5mRgk38I/Cnwc2Tv/FVkeXe+3RjzeafdaeDJbCbK\nHigTLyLzwF8Afwa8iCwv0CHidY8VRVGUKaVMAbnA+rcBbytok9tHDHW+5bHuPA9dICdeNEtOu5DA\n0XbY0ERUxisjpm0H4a0FUsNw2gq7jDEcIpYecqr53pQtif0KzLMp4AQm1jZvlJ+MfrObsACR6pZO\nCSWt6nrbdLcNut5ilKlyaknK95YyngyER/b/uh95bEzfQs6kIDH3W6xNLPzUXdentxx2KtYJPR2H\nKGbzvnX6nvPW8r5B9hlOwOVcBa4D3meM+UC/YvbryOq2virU2BhznTHm3xtj7jTGfMUY8++Ao8A1\nw03Ng8aYB/qPB731/xb4mjHm1f2+vmqM+UhqkmxFURRFqYuKb1WoKAbVKbqQN3lqorjCxIayqvCW\nhD+RTRWpyrrL3MmNOs/iTEzBE2V6cHUHG3pqiy3Mh1NJjKqqqSU1z1uZQgtlqpxaauV7g8F8bzbk\n1BeT7DpIE95S108Ly5HnVcNPY30zXHgBmgk9zduuCXyxO+XG5kDetxB+7kefKT+/ROQC4Aoy9xmQ\nKWbAR4ArE/sQMonSL/s7KyL3iMjXROQPReRyb/01wGdE5FYRuV9E7hKRV1d+M4qiKIpSEhXfinBz\npudd9Pj53nLaphZdKEuRgDaxAluMJoS3aRTvaoaSpEw+s7ps+TneipZVIdX11h14np7vbdQuPkVp\nhA6brjerG3ghjDMFYadN/b6XKqRQ4HqrW2jBEhLmXIGlVr43F1tFMkaq8LGS2DbUxhWu2tDwY336\ned9SKRLgitxvgcILbVQ9bYqY4F1JCJ+lfN636WcfcB5wv7f8frIcPCn8LNkndquz7EtkzrkXAz9C\nNr+5XUQe57Q5APxkv+0Lgf8I/JaI/GjJ96AoiqJU4Cw7WWdX7cdZdhbvbELRnG9VsXlLcvK6QcL6\nHGboDl1QztArFBhsDhLbtqmcJJ1Ol263gQvcsmE/ygDnVjrs2NOluzRDZy59duaeN7GJemqOuCrt\nm3TKbTfX3Rq7Oa/me15jd0NHo7TObOQ5m9/dpsS27p6ddFbWB5Y9shfOPz34ugnKFlqoG3JaKt/b\nYGebWE3FF8qsuJTnVMob/ys7mHyzT0UWyY497xjd/GwDudoYfN9uH27+N9sudL3k5YSz/6eQyBzO\nZxrOS2qX25xw7hhVlBtuovE/c3tejvntPHjLR3nwlo8OLHvkdHv2PBH5YeAtwIvd/HDGmDuAO5x2\nnwQWgNcC1/cX7wA+bYx5S//150XkW8nCXv9bawetKIqiKH1UfEthDeoWCpQVMN4FbkgUm4QiCh16\nyfnCclmW4jbB7ervutF+UvYzxjvWKUUXoPxkvWhy4/Zf1HfYyVDuHCvrbKgUjqYo42COTdebO8H2\nii3EvmdthJ8WCW4x11vThRY29hGogJr8HXfzvbkhp3m4FVBXvOV+O4iLcHbbPYFlk4ov9FiqCHAh\nbPGFjf0NF16Azf+nn+PQF9HK3jRKxb0B6l+buddJseu20DGVKvKwh+Fzr0gwrUF3wHqbxsy1L+aJ\n1754sJ+7vsSZK34stslJ4FFgv7d8P3Bf3r5E5IeAm4B/Zoz5aF5bY8wjIvJZ4KCz+F4yQc5lAXhJ\nXl+KoiiK0hQadlqWmhfNVfK+hS7gmrrQLLoLPPK7xNPmeJug4w2JU2UErtjE1S7PE7+6/ZTSqct9\nqoacTiKa700pTeg0z8n35orfE1FAJ4dYoYVU11tRldNaSfbdfG825DTvNz0vJLMoXHOF4nDUsiGf\nTRPScMt8HqEQ1Fj4qV0WKbzQZOjpYGqC9m/C2KILIeZ2Lm/mfUtlMfJ8CjHGnAXuBK6yy/o53K4C\nbo9tJyLXAv8F+CFjzP8q2o+I7ACeSia4Wf4C+Gav6TcDX009fkVRFEWpg4pvebhzmrXAev9iskTe\nN5c6FU+3VB63Jh1vdfcT+n8X7dOlDWdDCSdhVmctveiCH8pctG282lxn4FF2e0XZtljX2yxBV0ty\npcQRMGrXmyX1N61SvjeXUFGBFNFjWoWRotxzseILfju/r5gAB4O53wAWz88NEa5S9TQk3DZNlaIL\nG8w/Ut01v0L2+Y625kpTvBN4jYi8XESeAryXLPPlzQAi8nYReb9t3A81fT/wRuAvRWR//3Gh0+Yt\nIvI9InKZiDwD+CDwROA/O/t9F/BcEfk5Efmmfr+vBt7d6rtVFEVRAFhlF11maj9W64YkjhENO61C\nWct/oP3MWpfernITlEkISZ142pyfhqrhtU0kpNXP++aGnqZiBbdRC7j+hCnF9RZvsz2KLfTYDTW/\n+z3N+Ta5hP61Nhk7g3mw3BC8Sc9f1ZTrLSy8bH5ojeZ7s7gVUGNFENr8yRmFoTEWXhoilv/N9oPT\nV9lcuJFxzv0fNxl62lbutzmWqgl+9r2n3rQr83+bQIwxt4rIPuAGsnDTzwEvMsY82G9yKfAEZ5PX\nkBVpeE//YXk/WZEFyLzCN/W3fZjMXXelMeaLzn4/IyL/FPhVsrxxJ4CfMcb8XrPvUFEURVHCqPhW\nREu5NUKECiykb1tciMGlsbxuTVFVyJocM0i13G8t5IqL52obzi8Y3n5zEmP7ssvcSUtsP0XHtpXR\nkFOlMq7rzcmH5Yanud/ZNvK8pVDkemubmLhROt9bashpXvVR+9r9WasqjIzSNdcjLhyGCiZYfAEO\nhkU4X4Cz/fnFF2DT/eaNg73lDsyG3Z72/+ye/7a4QvbWwsJalbxwo6qguoF/rZnyFZ9s/T2KMeZG\n4MbIuld6r1+Q0N8bgDcktPsT4E8SD1NRFEVRGkXDTstQJvQ0gATWFV0Mhi4it/0Ef5ni0NKmiF38\njkv0Kwg9jeV9S3VMlnVWlsspN9y2rclN6vvYym45ZYqYIyzEO/neUoSDDr1KopwrqNVtZ797Tbve\nUnJaNuIMdwstuOQNu/66kQhpZ5rtLhQuCsPvxR/78sJQbZ9++Km/P9vPCENP64w99js2mHtx+Ps5\nx1I/AUOP2Y3nNdUy+3kv0nh6i1V2D6WOqPJYVZe1oiiKogRR8S2F0AVO0UVPzvqiogt1Ls7strE+\n8vpuPfwwJlilCllNCG55E4dJyZ2S+B7PrfQnq0vZJKPbHa78V2aCkZr3zV+eIsClCG91Qk6L96/h\n2soEY09P63pzQk5h2AHk/1Z3+hJ7bH0I17WWgi+8jdP1lhdyWjvfm8U64qBaCGgZAc5vG93fqRKd\nJopzVXLZ1RHg/PYPB7Z3sIJOMLQ4ZwyJ9ZW3fZPkhbXaogulmSSnv6IoiqKU5Cw7WWdX7cdZ0m4a\nTyIqvpWlbCL+GkUXBtdXE8asS27qCjO4jMrllsooikbk9ZlQeKFslVN/UhISwvIqxhUlxkw5hjpM\ngoNt2ztSlXpE0hv4k3R/rIg53caRD25crrchUaVuvreBzmq0m7YiDTH3G6QJcO6y2PvKc7/1WV/u\nbFQ9DZFa9XRUhReqFl0oVfHUxXW/6bCjKIqiKFODim+jInCRObNWb3I01YKapUisalLMqtNXG9VL\nG8B3v0Hx3fxePww1VOV0VOQdY8z1tp1pojrQNFcG2vLYU951vc0/MpTvzU86XybnYtF4kRdSOgmu\nt419R34TgsvdfG+WvHxv/vKylBXgQutaEVMCjrmU/aQIcHkuONu+yP3m9rUYT0W8zFxh6Gmb7reU\na67SYd9OaHkuRW5DRVEURVEmHhXf8nAvTvNCT2vmfYtRNpn9lmNcwltZd2OM0ITDp0zI7cDrsPvN\nDz2FbHLRdQS3IkIOtxT3WyplQ4VC7fK20RBTZSq5KL4qNOlPcbbNlfwRHRLZ9uxMzwfXsust5F4q\nFXJqiy2UYWgIPuU8UrchE6FCj1K4+2w431ueG61IgIPyApy/v4eJsrQ+mzt2paZHyGPsN3laKLyk\nKIqiKMrkodVOq7AGSSaSCpVSiyqedugOXYSGltXd59iroY5CeCvaR0g0SzmuKlVPU4j0e26lw449\noepu2f+vjEOyx8xG+GRKdbhYZblY2+FjjOePS50QFbn3RiHGacipUgurIXmut5nZbjDfW5uVTovE\ntklwvRWFnLaDL7idAi5udheVf0asGHdhM8fhX7u4FVBhUzzzK6HCYDXUWaf9vNfvotd+oJ/zWe//\nX2O50Yqqnm62y6pyu+tCY5s/llUR5GLXYu6+ouPRLLki5Abu57wMrJc8yBxW2c25BsbLdS24oCiK\nogTQcUadb8WsRJ5X7aOPW3RhS4SP+iTkJatdgCHpOBLb5c1lY//3Ze/RJEki3+BnXCb01CfFWRBy\nv9n1xaGuKY67uIhWtdBC/jGNP0+comyQINhPqht63K43/zehdL63UMjpwEcdc7pFlo/033Qm8jz0\n2sM9Tt/RVuSAs9vk5YKLjWN+X9b9ljDuNRF6GqNpB9xMQCjPrXia434dQsNOFUVRFGXqUOdbXeyd\nXHuXt4LbLYR7B7XIDWeZodeKoBDbf2euNyD45DKKC8VxX4wWOd5SHZMV9uG637rdDp1OXNANTUx8\n51aR6y3mHChD3gSp6iRoq4acrjVwp+jsFN8l2vLYf23A9WYn636+t3HQhOutqvAWcr3lYvO9xXDz\nvSVTwmHWg1LDca5g10TIaYJTzzrULCEHHDD0r/edcL47a5Zy7jePpfVZbGGz0LgUc2D7y0POuNA2\nKcyxxBJz0SiBouiBuZ3L5ce5UHhvYso4RVEURVHGjzrfUgg5n4ryguXliItQxtWQF+aW6qSr4qLI\nE3UaoUwOtDrOs1j7vP9ryh19f32dQg0pzsAc9xvYKqSdgbxvRfRyHARNuAuK+i1q6zIJ7jUNOVUa\noS+8pdKhxxxLzje712446nnh71pZ11ujx+T8NkTzvS2zme/NdbglY4WvmMOsZP63Ou2GCAlxJcU5\nf99FDjjIPr+YE85l2fvrro/9D5zCC7bqaYyiqqeb7UJOueZdbqW3CYXUpty8naQKuYqiKIqiJKPi\nW1nKiikF7ctUPC0bnhprPxFhriFhKTWf2iQ43Kqsq9JvCQHOVj61VHGPlU1qXXYCEwpv9SdG+ZVQ\nm3PXKcrE4JymOyM5rrJmWRhb3kTf/31v4/e+rOutbrip73qLhZzWzvcWDDmFYpGrhgBXKLy1WGgh\ndgwpAhyERTg/FNUX4EL9LVNYeGGweXuhp01QRgTP+74HWfT+6r0fRVEUZUo4y/mss7P24+wUB29O\n75GPAr/aaeyOZMlQU1kBk9i+KHQhpdiCDUdNaVu3eENrtJkHLnSdbJf5FW2r4ias9pNXFxELZ40s\nt+63VJei+//2E0Pb82Fw+cyAazKlMIO/H7cvlzKVUH3XW5nztinHnLrelEaYfWQj3BQIhpyOM99b\nXddb3ra+8JZ8TBHX2/pyJws5LUPUDeeLan7Y6RmSQ1BhMwy1kX9lnhDnHpf7vESRiFAIKoSvdULh\nqO72dqyy4+i8t527nwC95U62fWLoqRteapenFl6YKhaB85rrrnt2hrW8isGJPHp2/I50RVEURZlE\n1PlWBXsR6oco5oUaFoacbl4AVglfmHracpM13VdIuPMnbaE7/XWJOf429hV2v0E49DR7HQ9DDYlT\nrjDmT5S7GzJB/BE6rjyGHXLqelO2PrHqjqX6SBxDYqJaXpumXG8xyrjecmnMSX3G++s/t+S43yw9\nSgpvCX02Rei4QuGNK6Q74WLhkYuRPtzCC07oaR6h0NOpww83L9K/YmG/iqIoiqJMNOp8K6JOAYWC\nbTsr5+juKa9/htxpE+tYq0vbwpt7AVuUxy9v21gi6qZxE1kX0O12oFNezHXdAL4zwHUX+A64cvvI\nF/eKqON6m0ZWe7s52633Hh/tacGFSeX8zio7HNHNdb1NKlVcb02Fm/r7hkjIqc335uJWNE0mFnZ6\nIcnut9oUiX+p5LjfQkUi/GIKFlc8869z3PHQOuBc99tsoC0kjWsWey74Y5A7LsWcbW2630LXYn4Y\naqXxKnb90qDzTVEURVGUdlHxrQxNVDKt2EdqxdOpoExRhVHtyyUWcrocaJOC+z93K56GJiNFFVMt\noW2WBWYNkIWedubKCWNW0LITkR4zG2GVsQlKFQEuRXir63obBRpyqjSNDTd1sSGnbr63ULGFNmja\n9Za3rur4NhRyGsIttpDHQL63U8TzuiWGbtaijOstJKjFQk8L8ENkLTERDuJCnE2x4Atwbn8J10Mb\n/9eGQk9HSejaLXiz1A3L9QkVrFAURVGUKaMJMwFMt6FAw05TyAsjXctpk7d9BPfCsMrd2KqCQMgd\nNbKL1KrFF2y7vEceVcM28raz65ouvFDUznleJfQ0T+zyXSbDQtlMUr6mWLuywluK623SK6Qqisvu\nzupAuGmV337fXTOX+EMSzeeWE5JaxvUWK7IQo7brrWy+N0t0nM4LMfVDUtsKE81zvZ3y/qaQGCIb\nwi+o4OOHpdrT0m4TGpuX+uvdwgtO6GkReaGnsfPNbV/35k7sWinvGqqy286/OVinorqiKIqiKCNF\nxbeyFF3o5OV9cxBnfZmKpy5T47xpujppqrhWhrIhp5a8/DdQ3S1X1R3Yz/0Gmfut2+2UdpSkTERC\nfVpxLfZI7UcZLyLyehE5ISI9EblDRJ6duN3zReSsiNzlLX+FiJwTkUf7f8+JyOTGU44R1/VWpdBC\nU+FzIeGtquttoN+K4abRfcSSw5cZG6LFFlysWDWqRFupQprfLlYgwn+eSF6OukXv4ZMnwLl91BCP\nUqqeWnqJ59Qo8V2uybQkvK12d9Nb7tR+rHan15GgKIqiKG2iYad5NK1tNRG2mkhqDriiaqpjYRTF\nF2JzqKKQU3e7Fe/5HqfNHPkhpH7F01DbvPfqtg2Er55b6bBjT/mJuBtq6r4OVT51Q3yqEBbwpsP1\nNmrhe7W7G1mqd+wmYUIkIi8F3gH8BPBp4DrgNhF5sjHmZM52e4H3Ax8B9geanAaeDFh12JQ6+C1O\n54IeO/sT8VCuNz/ktGmKCi8sB1xCVVxvA/ssEN5C+w+53ixDIaepBReSWXL+zrEZ6umHdJaoKBok\nVUCLCXSp+y9xnLFQVBdXWLOhqaFxEUrlLs3ans+6/Z/nhJ7acygUelpEldxvcywNiMxuiKm/LolZ\nhnMUFrFasr2iKIqijIkm5jOQNqeZVNT5lkpK6GnqdiWpE4oaaz8xibzLhpfWJVQlrIrrrWxF29i6\nqu/J/zwGngs+brhpldDT2PIe5Z11sW3KCm9KK1wHvM8Y8wFjzBeB1wFd4FUF270X+CBwR2S9McY8\naIx5oP94sLlD3jq4v8uzOaKBm+/NZxKqZbuiQ6zIQhFF4abW9ZYbcvow4d9eG+IYxeZ7O0NY5Ar9\nb+oUQXD323Sfef2VDJPtke+Gs7huOP/zj7nfYqGniQyPHzPRdZZJqJJaubpxUfivoiiKoigTh4pv\nRYQu/mJCSqrQ5rTrrJzbfO5MmspMoFKENOvUqSq6jWxCVyf/WxFVI4Z811uKyObuyz/+qiGuIYbC\nTjefnlvpbISelmVQYJsZWjYsjOWLcHZ9THSrUmBBc701i4hcAFwB/JldZowxZG62K3O2eyVwGfC2\nnO5nReQeEfmaiPyhiFze0GFvCXazuvHb7P5GW6k8j7Zzc4Zcbz55rjeXqtVNixhwvcXGEBteWumG\nmP1BTxWvquR+K9omxfUWWu8fc00BztILPHx8Ac4fF2uO7V06wdDT2FhUFHo6iYV9hvDP31FFQiuK\noiiKUhsV38qQetFeRrCbQFp1xTWd/81lqeARwhXCYiGneRTlnyvzfuu44Py/AfdbCtYJ576GNAEu\na9cJPvL2l7IsJdxUqc0+4Dzgfm/5/cCloQ1E5BDwK8CPGGPOhdoAXyJzzr0Y+BGyced2EXlcEwe9\nlbC/vb7rzYacxoiF1oUEvSbwQ05d8lxv2fPyed6SXG9NkKtj+sUVitbVLYBQM19bKU5FjqEkISEu\nJMDFHFsFhRfW+znFltZnk91sRe42f30TY0vZ79vOkPstVFXWz503JWl/FUVRFEXJ0JxvbdJijrdQ\nTrfUPG+1993pVnJTFVLW9Vb3jm8ZB1rI9RZync2y+X/387rhLQutj+WJi30Os856L++bpWtj6xP+\nZe6kIZYDx11eJU+O3S51eapjbVSut2kodGL+4FbMH/z+4MIzpxvdh4jsIAs1vd4Y8xW7eOhYjLkD\nJxxVRD4JLACvBa5v9KCmGF94C7neOvSSc1g1QROut1C4aYrwlpLnbQA35LTKjYzSIXyhH3Cforxq\nMcErT2zzt3HPhzmvnd23n5fOf+33XSdnXR83T9wimZjkXxP5/6ea10v+eNRlZsMZmrduFLjf27LF\nS4LYQ2/QSf9Idzc0IWhPcS4eRVEUpT3M+gWYtV31O1q/oH4fY0LFtxRCgoi9iLR/14CUc8m5+JQV\nMP3nM2tderuyix63CIIrqLnJfLcERROk2Hpv7nn4/rs5dPIoR/cdYmF/YjSbf8Eam8+WdbT5Apzf\nPjS58M+vsm65qFgnnKN+4QU7aQkts88h7W5/3gQ6VXjbjuGmprcbs1Liu//CH8seLn9zF/zAs/K2\nOgk8ynDBhP3AfYH2c8CzgKeLyHv6y3YAIiLrwAuNMR/zNzLGPCIinwUOFr2N7cLuftZ0V3izhMS2\nUL439/s316LFuKzrzV2e52pz8YW3gX14rrdoyGmZxPVRZ/opssHhDIf5Ow5xlKMcYgEIi1exPi72\nXueRFyaaJ7zZ1zFhJ1WAc/fTkAjnCnCwedghd1dJ3HPE/d7ECgKFlvuFGfJuPFXBv3abZSne10VM\nVaSEoiiKoijpqPhWliI3W2j9CKucQubMqSI4TIW458w1Llk5yZGbr+bAqRPMry6yuHue4xdfxjU/\n9mEe2rMv3kdKgYy80OFYoYNY5baQQJYq1qbgu97yqqwW4BX1KrMAACAASURBVAtpfpXTmADnbltn\nvy5NCG9KOsaYsyJyJ3AV8EeQqWj9178V2OQM8K3estcDLwB+ELgntJ++Y+6pwB83c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MXDhOubgLzgy3bbjTLi31QR/GVFM9BRXMKZ7qeZkkijNKgMuSwqqmymZp0xXCGglZ+/D0NFlq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\n6ud7u8i69HAroq5HQpIkD2di2i+Slrh7FHhVkiT3OW0eNca8LGv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uiESGnbc0P77a7vrq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\noiX+PzZXzZrEANoiAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10bc37518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myBopt2D.plot_acquisition() "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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pQk/POObPP50pU36ctRjDMAyjRsyh8oRFixZlLaEspi0Zpi0ZPmsDv/X5rM2o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\nri7noIYOVUapWHNpO8Nrhg5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YrQxF2sI7S48iVLmxnZFLwtHBPuB7e/JZn2lLhmlLhmnL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laLUH/bbWWvcVJKsbuqCinyugC7q6pQIazVMiLiNVSdbfv88+WtH/PWFR04YL5+Csqb8hdHQgqI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\nHKqwMnmy+/H3858DscHuN97ou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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10b5255f8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "myBopt2D.plot_convergence()"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
